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102198716292 = 22313076516113
BaseRepresentation
bin101111100101110000…
…1001010011110000100
3100202210101220200222110
41133023201022132010
53133300332410132
6114541025101020
710245402520041
oct1371341123604
9322711820873
10102198716292
113a384569202
1217982187770
1398391b19ba
144d370861c8
1529d22a11cc
hex17cb84a784

102198716292 has 24 divisors (see below), whose sum is σ = 238646159136. Its totient is φ = 34040169088.

The previous prime is 102198716239. The next prime is 102198716299. The reversal of 102198716292 is 292617891201.

It is a happy number.

It is a super-2 number, since 2×1021987162922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102198716299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3242373 + ... + 3273740.

It is an arithmetic number, because the mean of its divisors is an integer number (9943589964).

Almost surely, 2102198716292 is an apocalyptic number.

102198716292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102198716292 is an abundant number, since it is smaller than the sum of its proper divisors (136447442844).

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

102198716292 is a wasteful number, since it uses less digits than its factorization.

102198716292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517427 (or 6517425 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 102198716292 in words is "one hundred two billion, one hundred ninety-eight million, seven hundred sixteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 1307 2614 3921 5228 7842 15684 6516113 13032226 19548339 26064452 39096678 78193356 8516559691 17033119382 25549679073 34066238764 51099358146 102198716292