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112400000001 = 3429533112903
BaseRepresentation
bin110100010101110001…
…1111110010000000001
3101202010100102121110000
41220223203332100001
53320143400000001
6123345202030213
711056243144002
oct1505343762001
9352110377400
10112400000001
1143739962693
121994a648369
13a7a37b5853
145623c431a9
152dccb6da86
hex1a2b8fe401

112400000001 has 80 divisors (see below), whose sum is σ = 177603528960. Its totient is φ = 70731722880.

The previous prime is 112399999997. The next prime is 112400000003. The reversal of 112400000001 is 100000004211.

It is a happy number.

It is not a de Polignac number, because 112400000001 - 22 = 112399999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112400000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38717116 + ... + 38720018.

It is an arithmetic number, because the mean of its divisors is an integer number (2220044112).

Almost surely, 2112400000001 is an apocalyptic number.

It is an amenable number.

112400000001 is a deficient number, since it is larger than the sum of its proper divisors (65203528959).

112400000001 is a wasteful number, since it uses less digits than its factorization.

112400000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112400000001 its reverse (100000004211), we get a palindrome (212400004212).

The spelling of 112400000001 in words is "one hundred twelve billion, four hundred million, one", and thus it is an aban number.

Divisors: 1 3 9 27 29 53 81 87 159 261 311 477 783 933 1431 1537 2349 2799 2903 4293 4611 8397 8709 9019 13833 16483 25191 26127 27057 41499 49449 78381 81171 84187 124497 148347 153859 235143 243513 252561 445041 461577 478007 730539 757683 902833 1335123 1384731 1434021 2273049 2708499 4154193 4302063 4461911 6819147 8125497 12462579 12906189 13385733 24376491 26182157 38718567 40157199 47850149 73129473 78546471 120471597 143550447 235639413 361414791 430651341 706918239 1291954023 1387654321 2120754717 3875862069 4162962963 12488888889 37466666667 112400000001