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1053336813 = 317103239839
BaseRepresentation
bin111110110010001…
…010010011101101
32201102001001110120
4332302022103231
54124123234223
6252304355153
735050133544
oct7662122355
92642031416
101053336813
114a06435a1
12254915ab9
1313a2c3329
149dc7315b
1562719be3
hex3ec8a4ed

1053336813 has 32 divisors (see below), whose sum is σ = 1509580800. Its totient is φ = 650985216.

The previous prime is 1053336799. The next prime is 1053336917. The reversal of 1053336813 is 3186333501.

It is not a de Polignac number, because 1053336813 - 24 = 1053336797 is a prime.

It is a super-2 number, since 2×10533368132 = 2219036883241993938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053336013) 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, 1255048 + ... + 1255886.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 21053336813 is an apocalyptic number.

It is an amenable number.

1053336813 is a deficient number, since it is larger than the sum of its proper divisors (456243987).

1053336813 is a wasteful number, since it uses less digits than its factorization.

1053336813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1053336813 is about 32455.1507930559. The cubic root of 1053336813 is about 1017.4718927655.

The spelling of 1053336813 in words is "one billion, fifty-three million, three hundred thirty-six thousand, eight hundred thirteen".

Divisors: 1 3 17 51 103 239 309 717 839 1751 2517 4063 5253 12189 14263 24617 42789 73851 86417 200521 259251 418489 601563 1255467 1469089 3408857 4407267 10226571 20653663 61960989 351112271 1053336813