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13031211011232 = 253832441669989
BaseRepresentation
bin1011110110100001000010…
…1101000000110010100000
31201010202211111112011202110
42331220100231000302200
53202000410004324412
643414242232515320
72513321361666261
oct275502055006240
951122744464673
1013031211011232
114174561990457
12156565224bb40
13736ab7bcb8bb
143309dd228968
15178e89773d3c
hexbda10b40ca0

13031211011232 has 96 divisors (see below), whose sum is σ = 34633294597440. Its totient is φ = 4289638369280.

The previous prime is 13031211011197. The next prime is 13031211011233. The reversal of 13031211011232 is 23211011213031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13031211011199 and 13031211011208.

It is not an unprimeable number, because it can be changed into a prime (13031211011233) 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 15 ways as a sum of consecutive naturals, for example, 19114894 + ... + 19784882.

It is an arithmetic number, because the mean of its divisors is an integer number (360763485390).

Almost surely, 213031211011232 is an apocalyptic number.

13031211011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031211011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316647298720).

13031211011232 is an abundant number, since it is smaller than the sum of its proper divisors (21602083586208).

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

13031211011232 is a wasteful number, since it uses less digits than its factorization.

13031211011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672526 (or 672518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13031211011232 its reverse (23211011213031), we get a palindrome (36242222224263).

The spelling of 13031211011232 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2441 2656 3984 4882 7323 7968 9764 14646 19528 29292 39056 58584 78112 117168 202603 234336 405206 607809 669989 810412 1215618 1339978 1620824 2009967 2431236 2679956 3241648 4019934 4862472 5359912 6483296 8039868 9724944 10719824 16079736 19449888 21439648 32159472 55609087 64318944 111218174 166827261 222436348 333654522 444872696 667309044 889745392 1334618088 1635443149 1779490784 2669236176 3270886298 4906329447 5338472352 6541772596 9812658894 13083545192 19625317788 26167090384 39250635576 52334180768 78501271152 135741781367 157002542304 271483562734 407225344101 542967125468 814450688202 1085934250936 1628901376404 2171868501872 3257802752808 4343737003744 6515605505616 13031211011232