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1313000024 = 237132117749
BaseRepresentation
bin100111001000010…
…1100101001011000
310101111122022102112
41032100230221120
510142112000044
6334142051452
744352213260
oct11620545130
93344568375
101313000024
11614177396
12307879b88
1317c03a1bb
14c65467a0
157a40c09e
hex4e42ca58

1313000024 has 32 divisors (see below), whose sum is σ = 2815860000. Its totient is φ = 562256640.

The previous prime is 1312999993. The next prime is 1313000033. The reversal of 1313000024 is 4200003131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1312999972 and 1313000008.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65102 + ... + 82850.

It is an arithmetic number, because the mean of its divisors is an integer number (87995625).

Almost surely, 21313000024 is an apocalyptic number.

1313000024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1313000024 is an abundant number, since it is smaller than the sum of its proper divisors (1502859976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313000024 is a wasteful number, since it uses less digits than its factorization.

1313000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19083 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1313000024 is about 36235.3421951553. The cubic root of 1313000024 is about 1095.0188063463.

Adding to 1313000024 its reverse (4200003131), we get a palindrome (5513003155).

The spelling of 1313000024 in words is "one billion, three hundred thirteen million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 1321 2642 5284 9247 10568 17749 18494 35498 36988 70996 73976 124243 141992 248486 496972 993944 23446429 46892858 93785716 164125003 187571432 328250006 656500012 1313000024