Search a number
-
+
312131134441422 = 232536125720870159
BaseRepresentation
bin100011011111000011011000…
…1011001000100011111001110
31111221011110000102121112100100
41012332012301121010133032
5311402424030404111142
63023503021424311530
7122513505326040252
oct10676066131043716
91457143012545310
10312131134441422
119050008617204a
122b0111314725a6
1310521abba1862a
145711328426262
1526143a8ecdb4c
hex11be1b16447ce

312131134441422 has 96 divisors (see below), whose sum is σ = 703065101132160. Its totient is φ = 100016475586560.

The previous prime is 312131134441421. The next prime is 312131134441501. The reversal of 312131134441422 is 224144431131213.

312131134441422 is a `hidden beast` number, since 3 + 1 + 213 + 1 + 1 + 3 + 4 + 4 + 414 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131134441421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4520779 + ... + 25390937.

It is an arithmetic number, because the mean of its divisors is an integer number (7323594803460).

Almost surely, 2312131134441422 is an apocalyptic number.

312131134441422 is an abundant number, since it is smaller than the sum of its proper divisors (390933966690738).

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

312131134441422 is a wasteful number, since it uses less digits than its factorization.

312131134441422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870538 (or 20870535 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 312131134441422 its reverse (224144431131213), we get a palindrome (536275565572635).

The spelling of 312131134441422 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred thirty-four million, four hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 61 106 122 159 183 257 318 366 477 514 549 771 954 1098 1542 2313 3233 4626 6466 9699 13621 15677 19398 27242 29097 31354 40863 47031 58194 81726 94062 122589 141093 245178 282186 830881 1661762 2492643 4985286 7477929 14955858 20870159 41740318 62610477 125220954 187831431 375662862 1106118427 1273079699 2212236854 2546159398 3318355281 3819239097 5363630863 6636710562 7638478194 9955065843 10727261726 11457717291 16090892589 19910131686 22915434582 32181785178 48272677767 67473224047 96545355534 134946448094 202419672141 284272435739 327181482643 404839344282 568544871478 607259016423 654362965286 852817307217 981544447929 1214518032846 1705634614434 1963088895858 2558451921651 2944633343787 5116903843302 5889266687574 17340618580079 34681237160158 52021855740237 104043711480474 156065567220711 312131134441422