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112757600412 = 223219715923027
BaseRepresentation
bin110100100000011100…
…0000111000010011100
3101210001021022120222200
41221000320013002130
53321411421203122
6123444454411500
711101144534542
oct1510070070234
9353037276880
10112757600412
11439027a9116
1219a2a360b90
13a82c900322
14565952bd92
152dee2595ac
hex1a40e0709c

112757600412 has 72 divisors (see below), whose sum is σ = 300082473600. Its totient is φ = 35601143328.

The previous prime is 112757600387. The next prime is 112757600437. The reversal of 112757600412 is 214006757211.

112757600412 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 5 + 7 + 600 + 41 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112757600387) and next prime (112757600437).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4885243 + ... + 4908269.

Almost surely, 2112757600412 is an apocalyptic number.

112757600412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112757600412 is an abundant number, since it is smaller than the sum of its proper divisors (187324873188).

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

112757600412 is a wasteful number, since it uses less digits than its factorization.

112757600412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30215 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 112757600412 in words is "one hundred twelve billion, seven hundred fifty-seven million, six hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 7159 14318 21477 23027 28636 42954 46054 64431 69081 85908 92108 128862 136021 138162 207243 257724 272042 276324 408063 414486 437513 544084 816126 828972 875026 1224189 1312539 1632252 1750052 2448378 2625078 3937617 4896756 5250156 7875234 15750468 164850293 329700586 494550879 659401172 989101758 1483652637 1978203516 2967305274 3132155567 5934610548 6264311134 9396466701 12528622268 18792933402 28189400103 37585866804 56378800206 112757600412