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312013002 = 23717436993
BaseRepresentation
bin10010100110001…
…111000011001010
3210202002220101010
4102212033003022
51114333404002
650543304350
710506031620
oct2246170312
9722086333
10312013002
11150139a94
12885ab0b6
134c8459a2
142d61d510
151c5d346c
hex1298f0ca

312013002 has 32 divisors (see below), whose sum is σ = 755125632. Its totient is φ = 83902464.

The previous prime is 312012991. The next prime is 312013033. The reversal of 312013002 is 200310213.

It is a happy number.

It is a super-2 number, since 2×3120130022 = 194704226834104008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217783 + ... + 219210.

It is an arithmetic number, because the mean of its divisors is an integer number (23597676).

Almost surely, 2312013002 is an apocalyptic number.

312013002 is an abundant number, since it is smaller than the sum of its proper divisors (443112630).

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

312013002 is a wasteful number, since it uses less digits than its factorization.

312013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437022.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312013002 is about 17663.8897754713. The cubic root of 312013002 is about 678.2517099530.

Adding to 312013002 its reverse (200310213), we get a palindrome (512323215).

The spelling of 312013002 in words is "three hundred twelve million, thirteen thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 436993 873986 1310979 2621958 3058951 6117902 7428881 9176853 14857762 18353706 22286643 44573286 52002167 104004334 156006501 312013002