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13132331145 = 35529372707
BaseRepresentation
bin11000011101011111…
…10111100010001001
31020220012210112200000
430032233313202021
5203343334044040
610011035233213
7643300654503
oct141657674211
936805715600
1013132331145
11562994983a
122665ba8809
13131392555b
148c8174d73
1551cd91130
hex30ebf7889

13132331145 has 48 divisors (see below), whose sum is σ = 24419828160. Its totient is φ = 6762377664.

The previous prime is 13132331141. The next prime is 13132331167. The reversal of 13132331145 is 54113323131.

13132331145 is a `hidden beast` number, since 1 + 313 + 2 + 331 + 14 + 5 = 666.

It is not a de Polignac number, because 13132331145 - 22 = 13132331141 is a prime.

It is a super-2 number, since 2×131323311452 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13132331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151119 + ... + 221588.

It is an arithmetic number, because the mean of its divisors is an integer number (508746420).

Almost surely, 213132331145 is an apocalyptic number.

13132331145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13132331145 is a deficient number, since it is larger than the sum of its proper divisors (11287497015).

13132331145 is an equidigital number, since it uses as much as digits as its factorization.

13132331145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372756 (or 372744 counting only the distinct ones).

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

Adding to 13132331145 its reverse (54113323131), we get a palindrome (67245654276).

The spelling of 13132331145 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 783 1215 1305 2349 3915 7047 11745 35235 372707 1118121 1863535 3354363 5590605 10063089 10808503 16771815 30189267 32425509 50315445 54042515 90567801 97276527 150946335 162127545 291829581 452839005 486382635 875488743 1459147905 2626466229 4377443715 13132331145