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3122010312012 = 2233674229102023
BaseRepresentation
bin101101011011100110010…
…100001100110101001100
3102001110110021012022121000
4231123212110030311030
5402122334114441022
610350122015540300
7441362216540334
oct55334624146514
912043407168530
103122010312012
11aa4045480a89
12425096b2a690
131985343621b7
14ab16b2200c4
1556325e476ac
hex2d6e650cd4c

3122010312012 has 96 divisors (see below), whose sum is σ = 8216931340800. Its totient is φ = 1024885262016.

The previous prime is 3122010311999. The next prime is 3122010312019. The reversal of 3122010312012 is 2102130102213.

3122010312012 is a `hidden beast` number, since 312 + 20 + 10 + 312 + 0 + 12 = 666.

3122010312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3122010312019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30550033 + ... + 30652055.

It is an arithmetic number, because the mean of its divisors is an integer number (85593034800).

Almost surely, 23122010312012 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 3122010312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108465670400).

3122010312012 is an abundant number, since it is smaller than the sum of its proper divisors (5094921028788).

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

3122010312012 is a wasteful number, since it uses less digits than its factorization.

3122010312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106332 (or 106324 counting only the distinct ones).

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

Adding to 3122010312012 its reverse (2102130102213), we get a palindrome (5224140414225).

The spelling of 3122010312012 in words is "three trillion, one hundred twenty-two billion, ten million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 4229 7236 8458 12687 16916 25374 38061 50748 76122 102023 114183 152244 204046 228366 283343 306069 408092 456732 566686 612138 850029 918207 1133372 1224276 1700058 1836414 2550087 2754621 3400116 3672828 5100174 5509242 6835541 7650261 10200348 11018484 13671082 15300522 20506623 27342164 30601044 41013246 61519869 82026492 123039738 184559607 246079476 369119214 431455267 738238428 862910534 1294365801 1725821068 2588731602 3883097403 5177463204 7766194806 11649292209 15532389612 23298584418 28907502889 46597168836 57815005778 86722508667 115630011556 173445017334 260167526001 346890034668 520335052002 780502578003 1040670104004 1561005156006 3122010312012