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1312119993 = 317192953881
BaseRepresentation
bin100111000110101…
…0101110010111001
310101102222121020210
41032031111302321
510141400314433
6334111141333
744341556502
oct11615256271
93342877223
101312119993
11613726198
12307514849
1317babc782
14c6397ba9
157a2d6463
hex4e355cb9

1312119993 has 64 divisors (see below), whose sum is σ = 2057529600. Its totient is φ = 738017280.

The previous prime is 1312119971. The next prime is 1312119997. The reversal of 1312119993 is 3999112131.

It is not a de Polignac number, because 1312119993 - 25 = 1312119961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312119997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488913 + ... + 1489793.

It is an arithmetic number, because the mean of its divisors is an integer number (32148900).

Almost surely, 21312119993 is an apocalyptic number.

It is an amenable number.

1312119993 is a deficient number, since it is larger than the sum of its proper divisors (745409607).

1312119993 is a wasteful number, since it uses less digits than its factorization.

1312119993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its digits is 13122, while the sum is 39.

The square root of 1312119993 is about 36223.1968909427. The cubic root of 1312119993 is about 1094.7741082373.

The spelling of 1312119993 in words is "one billion, three hundred twelve million, one hundred nineteen thousand, nine hundred ninety-three".

Divisors: 1 3 17 19 29 51 53 57 87 159 323 493 551 881 901 969 1007 1479 1537 1653 2643 2703 3021 4611 9367 14977 16739 17119 25549 26129 28101 29203 44931 46693 50217 51357 76647 78387 87609 140079 284563 434333 485431 496451 793781 853689 887167 1302999 1354097 1456293 1489353 2381343 2661501 4062291 8252327 15081839 23019649 24756981 25727843 45245517 69058947 77183529 437373331 1312119993