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1312132653 = 321311639643
BaseRepresentation
bin100111000110101…
…1000111000101101
310101110000020121200
41032031120320231
510141401221103
6334111320113
744341641426
oct11615307055
93343006550
101312132653
11613734757
12307520039
1317bac5470
14c639c64d
157a2da0a3
hex4e358e2d

1312132653 has 24 divisors (see below), whose sum is σ = 2043062112. Its totient is φ = 806688288.

The previous prime is 1312132643. The next prime is 1312132663. The reversal of 1312132653 is 3562312131.

1312132653 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 2 + 653 = 666.

1312132653 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1312132643) and next prime (1312132663).

It is not a de Polignac number, because 1312132653 - 28 = 1312132397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312132643) 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, 131250 + ... + 140892.

It is an arithmetic number, because the mean of its divisors is an integer number (85127588).

Almost surely, 21312132653 is an apocalyptic number.

1312132653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1312132653 is a deficient number, since it is larger than the sum of its proper divisors (730929459).

1312132653 is a wasteful number, since it uses less digits than its factorization.

1312132653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10822 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1312132653 is about 36223.3716404202. The cubic root of 1312132653 is about 1094.7776292048. Note that the first 3 decimals are identical.

Adding to 1312132653 its reverse (3562312131), we get a palindrome (4874444784).

The spelling of 1312132653 in words is "one billion, three hundred twelve million, one hundred thirty-two thousand, six hundred fifty-three".

Divisors: 1 3 9 13 39 117 1163 3489 9643 10467 15119 28929 45357 86787 125359 136071 376077 1128231 11214809 33644427 100933281 145792517 437377551 1312132653