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1303324131312 = 243274093161321
BaseRepresentation
bin10010111101110100001…
…010111111111111110000
311121121002220021211010200
4102331310022333333300
5132323201434200222
62434423331155200
7163106405220330
oct22756412777760
94547086254120
101303324131312
11462811549255
12190714745b00
1395b979a8448
144711cc470c0
1523d80b92eac
hex12f742bfff0

1303324131312 has 120 divisors (see below), whose sum is σ = 4178761872480. Its totient is φ = 371467745280.

The previous prime is 1303324131311. The next prime is 1303324131371. The reversal of 1303324131312 is 2131314233031.

1303324131312 is a `hidden beast` number, since 1 + 3 + 0 + 332 + 4 + 1 + 313 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303324131311) 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, 1168389 + ... + 1992932.

It is an arithmetic number, because the mean of its divisors is an integer number (34823015604).

Almost surely, 21303324131312 is an apocalyptic number.

1303324131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303324131312 is an abundant number, since it is smaller than the sum of its proper divisors (2875437741168).

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

1303324131312 is a wasteful number, since it uses less digits than its factorization.

1303324131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161751 (or 3161742 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1303324131312 its reverse (2131314233031), we get a palindrome (3434638364343).

The spelling of 1303324131312 in words is "one trillion, three hundred three billion, three hundred twenty-four million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 409 504 818 1008 1227 1636 2454 2863 3272 3681 4908 5726 6544 7362 8589 9816 11452 14724 17178 19632 22904 25767 29448 34356 45808 51534 58896 68712 103068 137424 206136 412272 3161321 6322642 9483963 12645284 18967926 22129247 25290568 28451889 37935852 44258494 50581136 56903778 66387741 75871704 88516988 113807556 132775482 151743408 177033976 199163223 227615112 265550964 354067952 398326446 455230224 531101928 796652892 1062203856 1292980289 1593305784 2585960578 3186611568 3878940867 5171921156 7757881734 9050862023 10343842312 11636822601 15515763468 18101724046 20687684624 23273645202 27152586069 31031526936 36203448092 46547290404 54305172138 62063053872 72406896184 81457758207 93094580808 108610344276 144813792368 162915516414 186189161616 217220688552 325831032828 434441377104 651662065656 1303324131312