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3112100000331 = 371991258359183
BaseRepresentation
bin101101010010010111100…
…111010111001001001011
3102000111212121012022201020
4231102113213113021023
5401442040100002311
610341402355323523
7440561511352350
oct55222747271113
912014777168636
103112100000331
11a9a91a355153
1242318bbb05a3
13197615117b4a
14aa8aad66627
1555e45da3c06
hex2d4979d724b

3112100000331 has 32 divisors (see below), whose sum is σ = 4766537318400. Its totient is φ = 1769235947424.

The previous prime is 3112100000329. The next prime is 3112100000353. The reversal of 3112100000331 is 1330000012113.

3112100000331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3112100000331 - 21 = 3112100000329 is a prime.

It is a super-2 number, since 2×31121000003312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3112100000331.

It is not an unprimeable number, because it can be changed into a prime (3112100000381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52554766 + ... + 52613948.

It is an arithmetic number, because the mean of its divisors is an integer number (148954291200).

Almost surely, 23112100000331 is an apocalyptic number.

3112100000331 is a deficient number, since it is larger than the sum of its proper divisors (1654437318069).

3112100000331 is a wasteful number, since it uses less digits than its factorization.

3112100000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71975.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3112100000331 its reverse (1330000012113), we get a palindrome (4442100012444).

The spelling of 3112100000331 in words is "three trillion, one hundred twelve billion, one hundred million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 199 597 1393 4179 12583 37749 59183 88081 177549 264243 414281 1242843 2504017 7512051 11777417 17528119 35332251 52584357 82441919 247325757 744699689 2234099067 5212897823 15638693469 148195238111 444585714333 1037366666777 3112100000331