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106242266611020 = 223561239121455823
BaseRepresentation
bin11000001010000001110100…
…100011111011110101001100
3111221011122212020020001222010
4120022001310203323311030
5102411133130223023040
61013543005024021220
731243515256650561
oct3012016443736514
9457148766201863
10106242266611020
1130941101854211
12baba568161810
1347387ab32bbc7
141c3422030a868
15c4391268be80
hex60a0748fbd4c

106242266611020 has 96 divisors (see below), whose sum is σ = 303620127068160. Its totient is φ = 27750226210560.

The previous prime is 106242266611003. The next prime is 106242266611043. The reversal of 106242266611020 is 20116662242601.

It is a super-2 number, since 2×1062422666110202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106242266611020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59853172 + ... + 61602651.

It is an arithmetic number, because the mean of its divisors is an integer number (3162709656960).

Almost surely, 2106242266611020 is an apocalyptic number.

106242266611020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106242266611020 is an abundant number, since it is smaller than the sum of its proper divisors (197377860457140).

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

106242266611020 is a wasteful number, since it uses less digits than its factorization.

106242266611020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121456135 (or 121456133 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 106242266611020 in words is "one hundred six trillion, two hundred forty-two billion, two hundred sixty-six million, six hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 239 244 305 366 478 610 717 732 915 956 1195 1220 1434 1830 2390 2868 3585 3660 4780 7170 14340 14579 29158 43737 58316 72895 87474 145790 174948 218685 291580 437370 874740 121455823 242911646 364367469 485823292 607279115 728734938 1214558230 1457469876 1821837345 2429116460 3643674690 7287349380 7408805203 14817610406 22226415609 29027941697 29635220812 37044026015 44452831218 58055883394 74088052030 87083825091 88905662436 111132078045 116111766788 145139708485 148176104060 174167650182 222264156090 290279416970 348335300364 435419125455 444528312180 580558833940 870838250910 1741676501820 1770704443517 3541408887034 5312113330551 7082817774068 8853522217585 10624226661102 17707044435170 21248453322204 26560566652755 35414088870340 53121133305510 106242266611020