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112134400400 = 245211171499123
BaseRepresentation
bin110100001101110111…
…0110010100110010000
3101201102211122202021202
41220123232302212100
53314122401303100
6123302553210332
711046536451101
oct1503356624620
9351384582252
10112134400400
1143612a44790
12198957009a8
13a760770919
1455da8663a8
152db46a77d5
hex1a1bbb2990

112134400400 has 120 divisors (see below), whose sum is σ = 311182163424. Its totient is φ = 38377523200.

The previous prime is 112134400361. The next prime is 112134400439. The reversal of 112134400400 is 4004431211.

It is an interprime number because it is at equal distance from previous prime (112134400361) and next prime (112134400439).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674762 + ... + 824361.

Almost surely, 2112134400400 is an apocalyptic number.

112134400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112134400400 is an abundant number, since it is smaller than the sum of its proper divisors (199047763024).

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

112134400400 is a wasteful number, since it uses less digits than its factorization.

112134400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499169 (or 1499158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112134400400 its reverse (4004431211), we get a palindrome (116138831611).

The spelling of 112134400400 in words is "one hundred twelve billion, one hundred thirty-four million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 1499123 2998246 5996492 7495615 11992984 14991230 16490353 23985968 25485091 29982460 32980706 37478075 50970182 59964920 65961412 74956150 82451765 101940364 119929840 127425455 131922824 149912300 164903530 203880728 254850910 263845648 280336001 299824600 329807060 407761456 412258825 509701820 560672002 599649200 637127275 659614120 824517650 1019403640 1121344004 1274254550 1319228240 1401680005 1649035300 2038807280 2242688008 2548509100 2803360010 3298070600 4485376016 5097018200 5606720020 6596141200 7008400025 10194036400 11213440040 14016800050 22426880080 28033600100 56067200200 112134400400