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1310013837 = 331141107581
BaseRepresentation
bin100111000010101…
…0011100110001101
310101022000121011000
41032011103212031
510140330420322
6333554050513
744314635216
oct11605234615
93338017130
101310013837
11612517870
12306879a39
1317b532c22
14c5daa40d
157a01c3ac
hex4e15398d

1310013837 has 32 divisors (see below), whose sum is σ = 2168853120. Its totient is φ = 774576000.

The previous prime is 1310013833. The next prime is 1310013847. The reversal of 1310013837 is 7383100131.

It is not a de Polignac number, because 1310013837 - 22 = 1310013833 is a prime.

It is a super-3 number, since 3×13100138373 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1310013837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310013833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41614 + ... + 65967.

It is an arithmetic number, because the mean of its divisors is an integer number (67776660).

Almost surely, 21310013837 is an apocalyptic number.

It is an amenable number.

1310013837 is a deficient number, since it is larger than the sum of its proper divisors (858839283).

1310013837 is a wasteful number, since it uses less digits than its factorization.

1310013837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107642 (or 107636 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1310013837 is about 36194.1132920811. The cubic root of 1310013837 is about 1094.1880338249.

Adding to 1310013837 its reverse (7383100131), we get a palindrome (8693113968).

The spelling of 1310013837 in words is "one billion, three hundred ten million, thirteen thousand, eight hundred thirty-seven".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 107581 322743 968229 1183391 2904687 3550173 4410821 10650519 13232463 31951557 39697389 48519031 119092167 145557093 436671279 1310013837