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312332200031142 = 232284315527393079
BaseRepresentation
bin100011100000100001000000…
…1110101011011001110100110
31111221212200000000222210010200
41013001002001311123032212
5311414222321201444032
63024135233141531330
7122534154036252654
oct10701020165331646
91457780000883120
10312332200031142
1190578384485605
122b0440a5a13b46
1310537a52a2ac65
14571ad5dc49dd4
152619725c8d47c
hex11c1081d5b3a6

312332200031142 has 48 divisors (see below), whose sum is σ = 677003117955840. Its totient is φ = 104067145785456.

The previous prime is 312332200031069. The next prime is 312332200031149. The reversal of 312332200031142 is 241130002233213.

312332200031142 is a `hidden beast` number, since 3 + 1 + 23 + 322 + 0 + 0 + 0 + 311 + 4 + 2 = 666.

It is a super-3 number, since 3×3123322000311423 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332200031149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794382159 + ... + 794775237.

It is an arithmetic number, because the mean of its divisors is an integer number (14104231624080).

Almost surely, 2312332200031142 is an apocalyptic number.

312332200031142 is an abundant number, since it is smaller than the sum of its proper divisors (364670917924698).

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

312332200031142 is a wasteful number, since it uses less digits than its factorization.

312332200031142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411457 (or 411454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312332200031142 its reverse (241130002233213), we get a palindrome (553462202264355).

The spelling of 312332200031142 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred million, thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 2843 5686 8529 15527 17058 25587 31054 46581 51174 93162 139743 279486 393079 786158 1179237 2358474 3537711 7075422 44143261 88286522 132429783 264859566 397289349 794578698 1117523597 2235047194 3352570791 6103337633 6705141582 10057712373 12206675266 18310012899 20115424746 36620025798 54930038697 109860077394 17351788890619 34703577781238 52055366671857 104110733343714 156166100015571 312332200031142