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1313300121 = 37193379767
BaseRepresentation
bin100111001000111…
…0101111010011001
310101112012120002020
41032101311322121
510142201100441
6334152325053
744354603220
oct11621657231
93345176066
101313300121
11614361901
123079a3789
1317c113983
14c65c3cb7
157a46ae66
hex4e475e99

1313300121 has 32 divisors (see below), whose sum is σ = 2113013760. Its totient is φ = 708777216.

The previous prime is 1313300117. The next prime is 1313300123. The reversal of 1313300121 is 1210033131.

It is not a de Polignac number, because 1313300121 - 22 = 1313300117 is a prime.

It is a super-2 number, since 2×13133001212 = 3449514415637229282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313300121.

It is not an unprimeable number, because it can be changed into a prime (1313300123) 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 31 ways as a sum of consecutive naturals, for example, 129580 + ... + 139346.

It is an arithmetic number, because the mean of its divisors is an integer number (66031680).

Almost surely, 21313300121 is an apocalyptic number.

It is an amenable number.

1313300121 is a deficient number, since it is larger than the sum of its proper divisors (799713639).

1313300121 is a wasteful number, since it uses less digits than its factorization.

1313300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313300121 is about 36239.4829019400. The cubic root of 1313300121 is about 1095.1022251887.

Adding to 1313300121 its reverse (1210033131), we get a palindrome (2523333252).

The spelling of 1313300121 in words is "one billion, three hundred thirteen million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 337 399 1011 2359 6403 7077 9767 19209 29301 44821 68369 134463 185573 205107 556719 1299011 3291479 3897033 9874437 23040353 62538101 69121059 187614303 437766707 1313300121