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42312431112100 = 2252493385774237
BaseRepresentation
bin10011001111011101000010…
…11011010000111110100100
312112211000210002000210222221
421213232201123100332210
521021221324331041400
6225554021300202124
711624654326142452
oct1147564133207644
9175730702023887
1042312431112100
1112533668309716
1248b4523699344
131a7c078207a66
14a63d0b06b9d2
154d599b8d5c1a
hex267ba16d0fa4

42312431112100 has 36 divisors (see below), whose sum is σ = 91836589593364. Its totient is φ = 16921541278080.

The previous prime is 42312431112071. The next prime is 42312431112101. The reversal of 42312431112100 is 121113421324.

It can be written as a sum of positive squares in 6 ways, for example, as 6002382400576 + 36310048711524 = 2449976^2 + 6025782^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42312431112101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42393819 + ... + 43380418.

Almost surely, 242312431112100 is an apocalyptic number.

It is an amenable number.

42312431112100 is an abundant number, since it is smaller than the sum of its proper divisors (49524158481264).

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

42312431112100 is a wasteful number, since it uses less digits than its factorization.

42312431112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85779184 (or 85779177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 42312431112100 its reverse (121113421324), we get a palindrome (42433544533424).

The spelling of 42312431112100 in words is "forty-two trillion, three hundred twelve billion, four hundred thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4933 9866 19732 24665 49330 98660 123325 246650 493300 85774237 171548474 343096948 428871185 857742370 1715484740 2144355925 4288711850 8577423700 423124311121 846248622242 1692497244484 2115621555605 4231243111210 8462486222420 10578107778025 21156215556050 42312431112100