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13531124145 = 3571173160483
BaseRepresentation
bin11001001101000010…
…01001000110110001
31021221000012022211010
430212201021012301
5210202431433040
610114402541133
7656212441350
oct144641110661
937830168733
1013531124145
115813a6a930
1227576677a9
131378433646
14925103997
15542db6e80
hex3268491b1

13531124145 has 64 divisors (see below), whose sum is σ = 27361880064. Its totient is φ = 5546257920.

The previous prime is 13531124141. The next prime is 13531124147. The reversal of 13531124145 is 54142113531.

It is not a de Polignac number, because 13531124145 - 22 = 13531124141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13531124141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4074 + ... + 164556.

It is an arithmetic number, because the mean of its divisors is an integer number (427529376).

Almost surely, 213531124145 is an apocalyptic number.

13531124145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13531124145 is an abundant number, since it is smaller than the sum of its proper divisors (13830755919).

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

13531124145 is a wasteful number, since it uses less digits than its factorization.

13531124145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160582.

The product of its digits is 7200, while the sum is 30.

Adding to 13531124145 its reverse (54142113531), we get a palindrome (67673237676).

The spelling of 13531124145 in words is "thirteen billion, five hundred thirty-one million, one hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 73 77 105 165 219 231 365 385 511 803 1095 1155 1533 2409 2555 4015 5621 7665 12045 16863 28105 84315 160483 481449 802415 1123381 1765313 2407245 3370143 5295939 5616905 8826565 11715259 12357191 16850715 26479695 35145777 37071573 58576295 61785955 82006813 128867849 175728885 185357865 246020439 386603547 410034065 644339245 902074943 1230102195 1933017735 2706224829 4510374715 13531124145