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2211223201020 = 22325101131928469
BaseRepresentation
bin100000001011010111001…
…011000110010011111100
321211101112221120012221100
4200023113023012103330
5242212041114413040
64411453311133100
7315520113042531
oct40132713062374
97741487505840
102211223201020
1178285793a029
122b8672214190
13130695ac95a2
1479049342d88
153c7bb8ceb30
hex202d72c64fc

2211223201020 has 144 divisors (see below), whose sum is σ = 6825502363680. Its totient is φ = 579364032000.

The previous prime is 2211223201009. The next prime is 2211223201043. The reversal of 2211223201020 is 201023221122.

2211223201020 is a `hidden beast` number, since 221 + 1 + 22 + 320 + 102 + 0 = 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 = 2211223200984 and 2211223201002.

It is a congruent number.

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, 1917346 + ... + 2845814.

It is an arithmetic number, because the mean of its divisors is an integer number (47399321970).

Almost surely, 22211223201020 is an apocalyptic number.

2211223201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211223201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412751181840).

2211223201020 is an abundant number, since it is smaller than the sum of its proper divisors (4614279162660).

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

2211223201020 is a wasteful number, since it uses less digits than its factorization.

2211223201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928716 (or 928711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2211223201020 its reverse (201023221122), we get a palindrome (2412246422142).

The spelling of 2211223201020 in words is "two trillion, two hundred eleven billion, two hundred twenty-three million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 131 180 202 262 303 393 404 505 524 606 655 786 909 1010 1179 1212 1310 1515 1572 1818 1965 2020 2358 2620 3030 3636 3930 4545 4716 5895 6060 7860 9090 11790 13231 18180 23580 26462 39693 52924 66155 79386 119079 132310 158772 198465 238158 264620 396930 476316 595395 793860 928469 1190790 1856938 2381580 2785407 3713876 4642345 5570814 8356221 9284690 11141628 13927035 16712442 18569380 27854070 33424884 41781105 55708140 83562210 93775369 121629439 167124420 187550738 243258878 281326107 364888317 375101476 468876845 486517756 562652214 608147195 729776634 843978321 937753690 1094664951 1125304428 1216294390 1406630535 1459553268 1687956642 1824441585 1875507380 2189329902 2432588780 2813261070 3375913284 3648883170 4219891605 4378659804 5473324755 5626522140 7297766340 8439783210 10946649510 12284573339 16879566420 21893299020 24569146678 36853720017 49138293356 61422866695 73707440034 110561160051 122845733390 147414880068 184268600085 221122320102 245691466780 368537200170 442244640204 552805800255 737074400340 1105611600510 2211223201020