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13021020132032 = 261129637785077
BaseRepresentation
bin1011110101111011000101…
…0001111001001011000000
31201002210112021120212121002
42331132301101321023000
53201314022123211112
643405435110551132
72512511005645223
oct275366121711300
951083467525532
1013021020132032
114170202453040
1215636893684a8
13735b527cb773
143303139b95ba
15178a8ec5e1c2
hexbd7b14792c0

13021020132032 has 56 divisors (see below), whose sum is σ = 29159533766160. Its totient is φ = 5714554280960.

The previous prime is 13021020132011. The next prime is 13021020132089. The reversal of 13021020132032 is 23023102012031.

13021020132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13021020131995 and 13021020132013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318872123 + ... + 318912954.

It is an arithmetic number, because the mean of its divisors is an integer number (520705960110).

Almost surely, 213021020132032 is an apocalyptic number.

It is an amenable number.

13021020132032 is an abundant number, since it is smaller than the sum of its proper divisors (16138513634128).

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

13021020132032 is a wasteful number, since it uses less digits than its factorization.

13021020132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637785129 (or 637785119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13021020132032 its reverse (23023102012031), we get a palindrome (36044122144063).

The spelling of 13021020132032 in words is "thirteen trillion, twenty-one billion, twenty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10208 20416 637785077 1275570154 2551140308 5102280616 7015635847 10204561232 14031271694 18495767233 20409122464 28062543388 36991534466 40818244928 56125086776 73983068932 112250173552 147966137864 203453439563 224500347104 295932275728 406906879126 449000694208 591864551456 813813758252 1183729102912 1627627516504 3255255033008 6510510066016 13021020132032