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13230100032 = 2631272692017
BaseRepresentation
bin11000101001001001…
…10100111001000000
31021011000202201100220
430110210310321000
5204043401200112
610024450543040
7645565665132
oct142444647100
937130681326
1013230100032
11567a056a76
122692897a80
13132ac67676
148d7145052
1552675498c
hex314934e40

13230100032 has 112 divisors (see below), whose sum is σ = 35428976640. Its totient is φ = 4356882432.

The previous prime is 13230099979. The next prime is 13230100057. The reversal of 13230100032 is 23000103231.

It is a junction number, because it is equal to n+sod(n) for n = 13230099984 and 13230100020.

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 15 ways as a sum of consecutive naturals, for example, 6558288 + ... + 6560304.

Almost surely, 213230100032 is an apocalyptic number.

13230100032 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 13230100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714488320).

13230100032 is an abundant number, since it is smaller than the sum of its proper divisors (22198876608).

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

13230100032 is a wasteful number, since it uses less digits than its factorization.

13230100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13230100032 its reverse (23000103231), we get a palindrome (36230203263).

The spelling of 13230100032 in words is "thirteen billion, two hundred thirty million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 269 381 508 538 762 807 1016 1076 1524 1614 2017 2032 2152 3048 3228 4034 4064 4304 6051 6096 6456 8068 8128 8608 12102 12192 12912 16136 17216 24204 24384 25824 32272 34163 48408 51648 64544 68326 96816 102489 129088 136652 193632 204978 256159 273304 387264 409956 512318 542573 546608 768477 819912 1024636 1085146 1093216 1536954 1627719 1639824 2049272 2170292 2186432 3073908 3255438 3279648 4098544 4340584 6147816 6510876 6559296 8197088 8681168 12295632 13021752 16394176 17362336 24591264 26043504 34724672 49182528 52087008 68906771 104174016 137813542 206720313 275627084 413440626 551254168 826881252 1102508336 1653762504 2205016672 3307525008 4410033344 6615050016 13230100032