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113132113102020 = 223513780917012399
BaseRepresentation
bin11001101110010010011111…
…011010100000010011000100
3112211120022202110221000012210
4121232102133122200103010
5104312024031423231040
61040340101505343420
732554345140564405
oct3156223732402304
9484508673830183
10113132113102020
1133058072552901
1210831917937b70
134b1840a7004bc
141dd18a2bdd9ac
15d12c5c56e480
hex66e49f6a04c4

113132113102020 has 96 divisors (see below), whose sum is σ = 319476540096000. Its totient is φ = 29911334262784.

The previous prime is 113132113101901. The next prime is 113132113102033. The reversal of 113132113102020 is 20201311231311.

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, 1856220 + ... + 15156179.

It is an arithmetic number, because the mean of its divisors is an integer number (3327880626000).

Almost surely, 2113132113102020 is an apocalyptic number.

113132113102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132113102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159738270048000).

113132113102020 is an abundant number, since it is smaller than the sum of its proper divisors (206344426993980).

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

113132113102020 is a wasteful number, since it uses less digits than its factorization.

113132113102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17013357 (or 17013355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 113132113102020 its reverse (20201311231311), we get a palindrome (133333424333331).

The spelling of 113132113102020 in words is "one hundred thirteen trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 809 822 1370 1618 1644 2055 2427 2740 3236 4045 4110 4854 8090 8220 9708 12135 16180 24270 48540 110833 221666 332499 443332 554165 664998 1108330 1329996 1662495 2216660 3324990 6649980 17012399 34024798 51037197 68049596 85061995 102074394 170123990 204148788 255185985 340247980 510371970 1020743940 2330698663 4661397326 6992095989 9322794652 11653493315 13763030791 13984191978 23306986630 27526061582 27968383956 34960479945 41289092373 46613973260 55052123164 68815153955 69920959890 82578184746 137630307910 139841919780 165156369492 206445461865 275260615820 412890923730 825781847460 1885535218367 3771070436734 5656605655101 7542140873468 9427676091835 11313211310202 18855352183670 22626422620404 28283028275505 37710704367340 56566056551010 113132113102020