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312112031 = 71119213337
BaseRepresentation
bin10010100110100…
…111001110011111
3210202021221012212
4102212213032133
51114400041111
650545351035
710506623420
oct2246471637
9722257185
10312112031
111501a7430
128863847b
134c87ba9a
142d647647
151c60298b
hex129a739f

312112031 has 16 divisors (see below), whose sum is σ = 409608960. Its totient is φ = 230402880.

The previous prime is 312111977. The next prime is 312112033. The reversal of 312112031 is 130211213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312112031 is a prime.

It is a super-2 number, since 2×3121120312 = 194827839789889922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312111997 and 312112015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112033) 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 15 ways as a sum of consecutive naturals, for example, 105206 + ... + 108131.

It is an arithmetic number, because the mean of its divisors is an integer number (25600560).

Almost surely, 2312112031 is an apocalyptic number.

312112031 is a deficient number, since it is larger than the sum of its proper divisors (97496929).

312112031 is a wasteful number, since it uses less digits than its factorization.

312112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213374.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312112031 is about 17666.6927012387. The cubic root of 312112031 is about 678.3234585484.

Adding to 312112031 its reverse (130211213), we get a palindrome (442323244).

The spelling of 312112031 in words is "three hundred twelve million, one hundred twelve thousand, thirty-one".

Divisors: 1 7 11 19 77 133 209 1463 213337 1493359 2346707 4053403 16426949 28373821 44587433 312112031