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21102122012202 = 23471113671237519
BaseRepresentation
bin1001100110001001110000…
…11111001000111000101010
32202201100021011110122220000
410303010320133020320222
510231214121213342302
6112514103033443430
74305402153402630
oct463047037107052
982640234418800
1021102122012202
1167a63a5821220
122449895b70576
13ba0bc98b611a
1452d4c34a1350
15268dabc9b31c
hex1331387c8e2a

21102122012202 has 160 divisors (see below), whose sum is σ = 58995132641280. Its totient is φ = 5477056665120.

The previous prime is 21102122012201. The next prime is 21102122012203. The reversal of 21102122012202 is 20221022120112.

It is a happy number.

21102122012202 is a `hidden beast` number, since 21 + 10 + 212 + 201 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21102122012201) and next prime (21102122012203).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21102122012201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16433199 + ... + 17670717.

It is an arithmetic number, because the mean of its divisors is an integer number (368719579008).

Almost surely, 221102122012202 is an apocalyptic number.

21102122012202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102122012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29497566320640).

21102122012202 is an abundant number, since it is smaller than the sum of its proper divisors (37893010629078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21102122012202 is a wasteful number, since it uses less digits than its factorization.

21102122012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238918 (or 1238909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21102122012202 its reverse (20221022120112), we get a palindrome (41323144132314).

The spelling of 21102122012202 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1367 1386 1782 2079 2734 4101 4158 6237 8202 9569 12303 12474 15037 19138 24606 28707 30074 36909 45111 57414 73818 86121 90222 105259 110727 135333 172242 210518 221454 258363 270666 315777 405999 516726 631554 775089 811998 947331 1217997 1237519 1550178 1894662 2435994 2475038 2841993 3712557 5683986 7425114 8525979 8662633 11137671 13612709 17051958 17325266 22275342 25987899 27225418 33413013 40838127 51975798 66826026 77963697 81676254 95288963 100239039 122514381 155927394 190577926 200478078 233891091 245028762 285866889 367543143 467782182 571733778 701673273 735086286 857600667 1102629429 1403346546 1691688473 1715201334 2205258858 2572802001 3383376946 5075065419 5145604002 7718406003 10150130838 11841819311 15225196257 15436812006 18608573203 23683638622 30450392514 35525457933 37217146406 45675588771 55825719609 71050915866 91351177542 106576373799 111651439218 130260012421 137026766313 167477158827 213152747598 260520024842 274053532626 319729121397 334954317654 390780037263 502431476481 639458242794 781560074526 959187364191 1004862952962 1172340111789 1507294429443 1918374728382 2344680223578 3014588858886 3517020335367 7034040670734 10551061006101 21102122012202