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312100012 = 22721639769
BaseRepresentation
bin10010100110100…
…100010010101100
3210202021022201201
4102212210102230
51114344200022
650545215244
710506543400
oct2246442254
9722238651
10312100012
111501993a4
1288631524
134c876483
142d643100
151c5ee127
hex129a44ac

312100012 has 36 divisors (see below), whose sum is σ = 639309720. Its totient is φ = 132922944.

The previous prime is 312099961. The next prime is 312100013. The reversal of 312100012 is 210001213.

It is not an unprimeable number, because it can be changed into a prime (312100013) 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, 27064 + ... + 36832.

Almost surely, 2312100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319654860).

312100012 is an abundant number, since it is smaller than the sum of its proper divisors (327209708).

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

312100012 is a wasteful number, since it uses less digits than its factorization.

312100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 312100012 is about 17666.3525380878. The cubic root of 312100012 is about 678.3147513391.

Adding to 312100012 its reverse (210001213), we get a palindrome (522101225).

The spelling of 312100012 in words is "three hundred twelve million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 163 196 326 652 1141 2282 4564 7987 9769 15974 19538 31948 39076 68383 136766 273532 478681 957362 1592347 1914724 3184694 6369388 11146429 22292858 44585716 78025003 156050006 312100012