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1310455423125 = 32541736133793
BaseRepresentation
bin10011000100011101001…
…110101110000010010101
311122021111220001222102200
4103010131032232002111
5132432303042020000
62442003115355113
7163451210210502
oct23043516560225
94567456058380
101310455423125
11465840a17352
12191b84a52a99
139676325cb44
14475d7dbc4a9
152414bc93500
hex1311d3ae095

1310455423125 has 120 divisors (see below), whose sum is σ = 2505834395064. Its totient is φ = 657441792000.

The previous prime is 1310455423117. The next prime is 1310455423133. The reversal of 1310455423125 is 5213245540131.

1310455423125 is a `hidden beast` number, since 1 + 3 + 104 + 5 + 5 + 423 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (1310455423117) and next prime (1310455423133).

It can be written as a sum of positive squares in 20 ways, for example, as 1198151349201 + 112304073924 = 1094601^2 + 335118^2 .

It is not a de Polignac number, because 1310455423125 - 23 = 1310455423117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1310455423125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 345491229 + ... + 345495021.

Almost surely, 21310455423125 is an apocalyptic number.

1310455423125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310455423125 is a deficient number, since it is larger than the sum of its proper divisors (1195378971939).

1310455423125 is a wasteful number, since it uses less digits than its factorization.

1310455423125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1310455423125 in words is "one trillion, three hundred ten billion, four hundred fifty-five million, four hundred twenty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 625 765 1125 1275 1875 2125 3613 3793 3825 5625 6375 10625 10839 11379 18065 18965 19125 31875 32517 34137 54195 56895 61421 64481 90325 94825 95625 162585 170685 184263 193443 270975 284475 307105 322405 451625 474125 552789 580329 812925 853425 921315 967215 1354875 1422375 1535525 1612025 2258125 2370625 2763945 2901645 4064625 4267125 4606575 4836075 6774375 7111875 7677625 8060125 13704109 13819725 14508225 20323125 21335625 23032875 24180375 38388125 40300625 41112327 68520545 69098625 72541125 115164375 120901875 123336981 205561635 232969853 342602725 345493125 362705625 616684905 698909559 1027808175 1164849265 1713013625 2096728677 3083424525 3494547795 5139040875 5824246325 8565068125 10483643385 15417122625 17472738975 25695204375 29121231625 52418216925 77085613125 87363694875 145606158125 262091084625 436818474375 1310455423125