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312131240431404 = 223109478194990327
BaseRepresentation
bin100011011111000011011011…
…1101101011000111100101100
31111221011110021211001101021020
41012332012313231120330230
5311402424240022301104
63023503040132134140
7122513511053661042
oct10676066755307454
91457143254041236
10312131240431404
119050012aa84979
122b011160a67350
1310521b079786b4
145711338536392
1526143b34682d9
hex11be1b7b58f2c

312131240431404 has 48 divisors (see below), whose sum is σ = 735003453676800. Its totient is φ = 103087040544576.

The previous prime is 312131240431397. The next prime is 312131240431411. The reversal of 312131240431404 is 404134042131213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312131240431397) and next prime (312131240431411).

It is a super-2 number, since 2×3121312404314042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60052089 + ... + 65042415.

It is an arithmetic number, because the mean of its divisors is an integer number (15312571951600).

Almost surely, 2312131240431404 is an apocalyptic number.

It is an amenable number.

312131240431404 is an abundant number, since it is smaller than the sum of its proper divisors (422872213245396).

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

312131240431404 is a wasteful number, since it uses less digits than its factorization.

312131240431404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038262 (or 5038260 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 312131240431404 its reverse (404134042131213), we get a palindrome (716265282562617).

The spelling of 312131240431404 in words is "three hundred twelve trillion, one hundred thirty-one billion, two hundred forty million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 109 218 327 436 654 1308 47819 95638 143457 191276 286914 573828 4990327 5212271 9980654 10424542 14970981 15636813 19961308 20849084 29941962 31273626 59883924 62547252 543945643 1087891286 1631836929 2175782572 3263673858 6527347716 238632446813 477264893626 715897340439 954529787252 1431794680878 2863589361756 26010936702617 52021873405234 78032810107851 104043746810468 156065620215702 312131240431404