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12930088210221 = 3721321140277963
BaseRepresentation
bin1011110000101000010101…
…0100001000111100101101
31200210002211002010122002010
42330022011110020330231
53143321310040211341
643300000040151433
72503111432241400
oct274120524107455
950702732118063
1012930088210221
11413568a787336
121549b30468579
1372a3c08b7180
14329b69011d37
1517651bb9c716
hexbc285508f2d

12930088210221 has 96 divisors (see below), whose sum is σ = 21707982202368. Its totient is φ = 6785404940160.

The previous prime is 12930088210147. The next prime is 12930088210223. The reversal of 12930088210221 is 12201288003921.

It is not a de Polignac number, because 12930088210221 - 210 = 12930088209197 is a prime.

It is a super-2 number, since 2×129300882102212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12930088210221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930088210223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1623766986 + ... + 1623774948.

It is an arithmetic number, because the mean of its divisors is an integer number (226124814608).

Almost surely, 212930088210221 is an apocalyptic number.

It is an amenable number.

12930088210221 is a deficient number, since it is larger than the sum of its proper divisors (8777893992147).

12930088210221 is a wasteful number, since it uses less digits than its factorization.

12930088210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12231 (or 12224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12930088210221 in words is "twelve trillion, nine hundred thirty billion, eighty-eight million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 49 91 147 211 273 633 637 1477 1911 2743 4027 4431 7963 8229 10339 12081 19201 23889 28189 31017 52351 55741 57603 84567 103519 134407 157053 167223 197323 310557 366457 390187 403221 591969 724633 849697 1099371 1170561 1680193 2173899 2549091 2565199 5040579 5072431 5947879 7695597 11046061 11761351 15217293 17843637 21842509 32067001 33138183 35284053 41635153 65527527 77322427 82329457 96201003 124905459 152897563 224469007 231967281 246988371 416871013 458692689 541256989 673407021 1070282941 1250613039 1571283049 1623770967 2918097091 3210848823 4713849147 6766137211 8754291273 20298411633 20426679637 47362960477 61280038911 87959783743 142088881431 263879351229 331540723339 615718486201 994622170017 1847155458603 4310029403407 12930088210221