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113332113102312 = 23341313453479713
BaseRepresentation
bin11001110001001100110000…
…010101111101010111101000
3112212021102222211012201010000
4121301030300111331113220
5104323313131423233222
61041012015355423000
732604655261542306
oct3161146025752750
9485242884181100
10113332113102312
1133124974314245
1210864633454a60
134b31231a1c840
141ddb436cc1276
15d180659e39ac
hex67133057d5e8

113332113102312 has 80 divisors (see below), whose sum is σ = 341852919532740. Its totient is φ = 34871419413504.

The previous prime is 113332113102269. The next prime is 113332113102331. The reversal of 113332113102312 is 213201311233311.

113332113102312 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 32 + 1 + 1 + 310 + 2 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88804123876836 + 24527989225476 = 9423594^2 + 4952574^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6726731433 + ... + 6726748280.

Almost surely, 2113332113102312 is an apocalyptic number.

113332113102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113332113102312 is an abundant number, since it is smaller than the sum of its proper divisors (228520806430428).

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

113332113102312 is a wasteful number, since it uses less digits than its factorization.

113332113102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453479744 (or 13453479731 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113332113102312 its reverse (213201311233311), we get a palindrome (326533424335623).

The spelling of 113332113102312 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 13453479713 26906959426 40360439139 53813918852 80720878278 107627837704 121081317417 161441756556 174895236269 242162634834 322883513112 349790472538 363243952251 484325269668 524685708807 699580945076 726487904502 968650539336 1049371417614 1089731856753 1399161890152 1452975809004 1574057126421 2098742835228 2179463713506 2905951618008 3148114252842 4197485670456 4358927427012 4722171379263 6296228505684 8717854854024 9444342758526 12592457011368 14166514137789 18888685517052 28333028275578 37777371034104 56666056551156 113332113102312