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312000013220022 = 23429113587710103
BaseRepresentation
bin100011011110000110010100…
…1111101010011100010110110
31111220200220120100220100010000
41012330030221331103202312
5311343302011341020042
63023322454413412130
7122501154116042661
oct10674145175234266
91456626510810100
10312000013220022
119045a50a703766
122abab83919a046
1310512623772aaa
145708c4a0966d8
152610c829e174c
hex11bc329f538b6

312000013220022 has 80 divisors (see below), whose sum is σ = 729618585711840. Its totient is φ = 99525179513088.

The previous prime is 312000013220009. The next prime is 312000013220039. The reversal of 312000013220022 is 220022310000213.

312000013220022 is a `hidden beast` number, since 312 + 0 + 0 + 0 + 0 + 132 + 200 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312000013219977 and 312000013220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293324178 + ... + 294385925.

It is an arithmetic number, because the mean of its divisors is an integer number (9120232321398).

Almost surely, 2312000013220022 is an apocalyptic number.

312000013220022 is an abundant number, since it is smaller than the sum of its proper divisors (417618572491818).

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

312000013220022 is a wasteful number, since it uses less digits than its factorization.

312000013220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587710259 (or 587710250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312000013220022 its reverse (220022310000213), we get a palindrome (532022323220235).

The spelling of 312000013220022 in words is "three hundred twelve trillion, thirteen million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 113 162 174 226 261 339 522 678 783 1017 1566 2034 2349 3051 3277 4698 6102 6554 9153 9831 18306 19662 29493 58986 88479 176958 265437 530874 587710103 1175420206 1763130309 3526260618 5289390927 10578781854 15868172781 17043592987 31736345562 34087185974 47604518343 51130778961 66411241639 95209036686 102261557922 132822483278 153392336883 199233724917 306784673766 398467449834 460177010649 597701174751 920354021298 1195402349502 1380531031947 1793103524253 1925926007531 2761062063894 3586207048506 3851852015062 5379310572759 5777778022593 10758621145518 11555556045186 17333334067779 34666668135558 52000002203337 104000004406674 156000006610011 312000013220022