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102130012031432 = 237111929300899227
BaseRepresentation
bin10111001110001011111111…
…000101101000100111001000
3111101121112102010201212220012
4113032023333011220213020
5101341244231040001212
61001113514012451052
730340435622524610
oct2716137705504710
9441545363655805
10102130012031432
112a5a61052a4520
12b555592479a88
1344caa84c05218
141b311945bda40
15bc19816da922
hex5ce2ff1689c8

102130012031432 has 128 divisors (see below), whose sum is σ = 259976932992000. Its totient is φ = 36396770376960.

The previous prime is 102130012031393. The next prime is 102130012031449. The reversal of 102130012031432 is 234130210031201.

It is a super-3 number, since 3×1021300120314323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102130012031398 and 102130012031407.

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, 150110198 + ... + 150789029.

It is an arithmetic number, because the mean of its divisors is an integer number (2031069789000).

Almost surely, 2102130012031432 is an apocalyptic number.

It is an amenable number.

102130012031432 is an abundant number, since it is smaller than the sum of its proper divisors (157846920960568).

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

102130012031432 is a wasteful number, since it uses less digits than its factorization.

102130012031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300899299 (or 300899295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102130012031432 its reverse (234130210031201), we get a palindrome (336260222062633).

The spelling of 102130012031432 in words is "one hundred two trillion, one hundred thirty billion, twelve million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 29 38 44 56 58 76 77 88 116 133 152 154 203 209 232 266 308 319 406 418 532 551 616 638 812 836 1064 1102 1276 1463 1624 1672 2204 2233 2552 2926 3857 4408 4466 5852 6061 7714 8932 11704 12122 15428 17864 24244 30856 42427 48488 84854 169708 339416 300899227 601798454 1203596908 2106294589 2407193816 3309891497 4212589178 5717085313 6619782994 8425178356 8726077583 11434170626 13239565988 16850356712 17452155166 22868341252 23169240479 26479131976 34904310332 40019597191 45736682504 46338480958 61082543081 62887938443 69808620664 80039194382 92676961916 95986853413 122165086162 125775876886 160078388764 165795474077 185353923832 191973706826 244330172324 251551753772 320156777528 331590948154 383947413652 440215569101 488660344648 503103507544 663181896308 671907973891 767894827304 880431138202 1160568318539 1326363792616 1343815947782 1760862276404 1823750214847 2321136637078 2687631895564 3521724552808 3647500429694 4642273274156 5375263791128 7295000859388 9284546548312 12766251503929 14590001718776 25532503007858 51065006015716 102130012031432