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102122322321012 = 22376142293471241
BaseRepresentation
bin10111001110000100110100…
…101111101101111001110100
3111101120210120020012010021120
4113032010310233231321310
5101341133004003233022
61001110202555343540
730340044230211030
oct2716046457557164
9441523506163246
10102122322321012
112a5a2919699244
12b553ba7151bb0
1344ca12aa53506
141b30a652071c0
15bc1681582d5c
hex5ce134bede74

102122322321012 has 96 divisors (see below), whose sum is σ = 276797688647424. Its totient is φ = 28698742195200.

The previous prime is 102122322320983. The next prime is 102122322321023. The reversal of 102122322321012 is 210123223221201.

It is a super-3 number, since 3×1021223223210123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 216473712 + ... + 216944952.

It is an arithmetic number, because the mean of its divisors is an integer number (2883309256744).

Almost surely, 2102122322321012 is an apocalyptic number.

102122322321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122322321012 is an abundant number, since it is smaller than the sum of its proper divisors (174675366326412).

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

102122322321012 is a wasteful number, since it uses less digits than its factorization.

102122322321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513609 (or 513607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102122322321012 its reverse (210123223221201), we get a palindrome (312245545542213).

The spelling of 102122322321012 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 42293 84586 126879 169172 253758 296051 471241 507516 592102 888153 942482 1184204 1413723 1776306 1884964 2579873 2827446 3298687 3552612 5159746 5654892 6597374 7739619 9896061 10319492 13194748 15479238 18059111 19792122 28745701 30958476 36118222 39584244 54177333 57491402 72236444 86237103 108354666 114982804 172474206 201219907 216709332 344948412 402439814 603659721 804879628 1207319442 2414638884 19930195613 39860391226 59790586839 79720782452 119581173678 139511369291 239162347356 279022738582 418534107873 558045477164 837068215746 1215741932393 1674136431492 2431483864786 3647225797179 4862967729572 7294451594358 8510193526751 14588903188716 17020387053502 25530580580253 34040774107004 51061161160506 102122322321012