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312112100 = 22523121121
BaseRepresentation
bin10010100110100…
…111001111100100
3210202021221022102
4102212213033210
51114400041400
650545351232
710506623546
oct2246471744
9722257272
10312112100
111501a7493
1288638518
134c87bb21
142d647696
151c6029d5
hex129a73e4

312112100 has 18 divisors (see below), whose sum is σ = 677283474. Its totient is φ = 124844800.

The previous prime is 312112081. The next prime is 312112109. The reversal of 312112100 is 1211213.

It can be written as a sum of positive squares in 3 ways, for example, as 45508516 + 266603584 = 6746^2 + 16328^2 .

It is not an unprimeable number, because it can be changed into a prime (312112109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1560461 + ... + 1560660.

Almost surely, 2312112100 is an apocalyptic number.

It is an amenable number.

312112100 is an abundant number, since it is smaller than the sum of its proper divisors (365171374).

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

312112100 is a wasteful number, since it uses less digits than its factorization.

312112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121135 (or 3121128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 312112100 is about 17666.6946540659. The cubic root of 312112100 is about 678.3235085350.

Adding to 312112100 its reverse (1211213), we get a palindrome (313323313).

The spelling of 312112100 in words is "three hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3121121 6242242 12484484 15605605 31211210 62422420 78028025 156056050 312112100