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113013123132 = 22373132112079
BaseRepresentation
bin110100101000000011…
…0110110100000111100
3101210201002010111021010
41221100012312200330
53322422324420012
6123530103235220
711110366461000
oct1512006664074
9353632114233
10113013123132
1143a23a64118
1219a9ba48b10
13a8708276c0
145681444700
152e168cec3c
hex1a501b683c

113013123132 has 96 divisors (see below), whose sum is σ = 331174144000. Its totient is φ = 29805644736.

The previous prime is 113013123103. The next prime is 113013123143. The reversal of 113013123132 is 231321310311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113013123099 and 113013123108.

It is a congruent number.

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, 1002532 + ... + 1109547.

Almost surely, 2113013123132 is an apocalyptic number.

113013123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113013123132 is an abundant number, since it is smaller than the sum of its proper divisors (218161020868).

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

113013123132 is a wasteful number, since it uses less digits than its factorization.

113013123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112120 (or 2112104 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113013123132 its reverse (231321310311), we get a palindrome (344334433443).

The spelling of 113013123132 in words is "one hundred thirteen billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2548 3822 4116 4459 7644 8918 13377 17836 26754 53508 2112079 4224158 6336237 8448316 12672474 14784553 25344948 27457027 29569106 44353659 54914054 59138212 82371081 88707318 103491871 109828108 164742162 177414636 192199189 206983742 310475613 329484324 384398378 413967484 576597567 620951226 724443097 768796756 1153195134 1241902452 1345394323 1448886194 2173329291 2306390268 2690788646 2897772388 4036182969 4346658582 5381577292 8072365938 8693317164 9417760261 16144731876 18835520522 28253280783 37671041044 56506561566 113013123132