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13231213020288 = 273211485427969
BaseRepresentation
bin1100000010001010000111…
…0000001000010010000000
31201211220001222120221011100
43000202201300020102000
53213240011013122123
644050200234014400
72533631536011504
oct300424160102200
951756058527140
1013231213020288
1142413648a402a
12159836a577400
1374c90c772363
1433a5736b0304
1517e292e93643
hexc08a1c08480

13231213020288 has 48 divisors (see below), whose sum is σ = 38074193720550. Its totient is φ = 4410404339712.

The previous prime is 13231213020287. The next prime is 13231213020349. The reversal of 13231213020288 is 88202031213231.

13231213020288 is a `hidden beast` number, since 1 + 3 + 2 + 312 + 130 + 202 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7626478745664 + 5604734274624 = 2761608^2 + 2367432^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13231213020281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5742712833 + ... + 5742715136.

Almost surely, 213231213020288 is an apocalyptic number.

13231213020288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13231213020288 is an abundant number, since it is smaller than the sum of its proper divisors (24842980700262).

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

13231213020288 is a wasteful number, since it uses less digits than its factorization.

13231213020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485427989 (or 11485427974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13231213020288 in words is "thirteen trillion, two hundred thirty-one billion, two hundred thirteen million, twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11485427969 22970855938 34456283907 45941711876 68912567814 91883423752 103368851721 137825135628 183766847504 206737703442 275650271256 367533695008 413475406884 551300542512 735067390016 826950813768 1102601085024 1470134780032 1653901627536 2205202170048 3307803255072 4410404340096 6615606510144 13231213020288