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21210122210220 = 2235517256718981
BaseRepresentation
bin1001101001010010111011…
…10011001100101110101100
32210002200000212220011200000
410310221131303030232230
510240001312241211340
6113035443504504300
74316244413054616
oct464513563145654
983080025804600
1021210122210220
11683818704a519
1224667b701b090
13bab14b9a7b38
1453480ac3bdb6
1526bacd51ed30
hex134a5dcccbac

21210122210220 has 144 divisors (see below), whose sum is σ = 70644956342688. Its totient is φ = 5323324769280.

The previous prime is 21210122210171. The next prime is 21210122210281. The reversal of 21210122210220 is 2201222101212.

It is a happy number.

21210122210220 is a `hidden beast` number, since 2 + 1 + 210 + 1 + 22 + 210 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21210122210193 and 21210122210202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128276871 + ... + 128442110.

It is an arithmetic number, because the mean of its divisors is an integer number (490589974602).

Almost surely, 221210122210220 is an apocalyptic number.

21210122210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210122210220 is an abundant number, since it is smaller than the sum of its proper divisors (49434834132468).

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

21210122210220 is a wasteful number, since it uses less digits than its factorization.

21210122210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256719022 (or 256719008 counting only the distinct ones).

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

Adding to 21210122210220 its reverse (2201222101212), we get a palindrome (23411344311432).

The spelling of 21210122210220 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6885 8262 9180 13770 16524 20655 27540 41310 82620 256718981 513437962 770156943 1026875924 1283594905 1540313886 2310470829 2567189810 3080627772 3850784715 4364222677 4620941658 5134379620 6931412487 7701569430 8728445354 9241883316 11552354145 13092668031 13862824974 15403138860 17456890708 20794237461 21821113385 23104708290 26185336062 27725649948 34657062435 39278004093 41588474922 43642226770 46209416580 52370672124 62382712383 65463340155 69314124870 78556008186 83176949844 87284453540 103971187305 117834012279 124765424766 130926680310 138628249740 157112016372 196390020465 207942374610 235668024558 249530849532 261853360620 311913561915 353502036837 392780040930 415884749220 471336049116 589170061395 623827123830 707004073674 785560081860 1060506110511 1178340122790 1247654247660 1414008147348 1767510184185 2121012221022 2356680245580 3535020368370 4242024442044 5302530552555 7070040736740 10605061105110 21210122210220