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1313102021 = 711117114563
BaseRepresentation
bin100111001000100…
…0101100011000101
310101111211111100012
41032101011203011
510142123231041
6334144200005
744353116530
oct11621054305
93344744305
101313102021
11614236a90
12307909005
1317c07475a
14c6571a17
157a42c3eb
hex4e4458c5

1313102021 has 16 divisors (see below), whose sum is σ = 1638624768. Its totient is φ = 1022252400.

The previous prime is 1313102017. The next prime is 1313102069. The reversal of 1313102021 is 1202013131.

It is a cyclic number.

It is not a de Polignac number, because 1313102021 - 22 = 1313102017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313101987 and 1313102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82886 + ... + 97448.

It is an arithmetic number, because the mean of its divisors is an integer number (102414048).

Almost surely, 21313102021 is an apocalyptic number.

1313102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313102021 is a deficient number, since it is larger than the sum of its proper divisors (325522747).

1313102021 is a wasteful number, since it uses less digits than its factorization.

1313102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15752.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1313102021 is about 36236.7495920923. The cubic root of 1313102021 is about 1095.0471601770.

Adding to 1313102021 its reverse (1202013131), we get a palindrome (2515115152).

It can be divided in two parts, 131310 and 2021, that added together give a palindrome (133331).

The spelling of 1313102021 in words is "one billion, three hundred thirteen million, one hundred two thousand, twenty-one".

Divisors: 1 7 11 77 1171 8197 12881 14563 90167 101941 160193 1121351 17053273 119372911 187586003 1313102021