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312114132 = 223211788167
BaseRepresentation
bin10010100110100…
…111101111010100
3210202022001002200
4102212213233110
51114400123012
650545404500
710506632511
oct2246475724
9722261080
10312114132
111501a8a70
1288639730
134c87ca25
142d648308
151c6033dc
hex129a7bd4

312114132 has 36 divisors (see below), whose sum is σ = 860679456. Its totient is φ = 94579920.

The previous prime is 312114109. The next prime is 312114137. The reversal of 312114132 is 231411213.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3121141322 = 194830462788226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114137) 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, 393688 + ... + 394479.

Almost surely, 2312114132 is an apocalyptic number.

It is an amenable number.

312114132 is an abundant number, since it is smaller than the sum of its proper divisors (548565324).

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

312114132 is a wasteful number, since it uses less digits than its factorization.

312114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788188 (or 788183 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312114132 is about 17666.7521633151. The cubic root of 312114132 is about 678.3249806027.

Adding to 312114132 its reverse (231411213), we get a palindrome (543525345).

The spelling of 312114132 in words is "three hundred twelve million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 788167 1576334 2364501 3152668 4729002 7093503 8669837 9458004 14187006 17339674 26009511 28374012 34679348 52019022 78028533 104038044 156057066 312114132