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13020120032 = 253123711443
BaseRepresentation
bin11000010000000111…
…10100001111100000
31020121101122121221212
430020003310033200
5203131122320112
65551550205252
7640436123423
oct141003641740
936541577855
1013020120032
115581577987
1226344b3828
1312c65c794a
148b72c59ba
155130c8522
hex3080f43e0

13020120032 has 72 divisors (see below), whose sum is σ = 27205157448. Its totient is φ = 6129250560.

The previous prime is 13020120019. The next prime is 13020120049. The reversal of 13020120032 is 23002102031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13020119989 and 13020120016.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1132103 + ... + 1143545.

It is an arithmetic number, because the mean of its divisors is an integer number (377849409).

Almost surely, 213020120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602578724).

13020120032 is an abundant number, since it is smaller than the sum of its proper divisors (14185037416).

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

13020120032 is a wasteful number, since it uses less digits than its factorization.

13020120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13020120032 its reverse (23002102031), we get a palindrome (36022222063).

The spelling of 13020120032 in words is "thirteen billion, twenty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 961 992 1147 1184 1922 2294 3844 4588 7688 9176 11443 15376 18352 22886 30752 35557 36704 45772 71114 91544 142228 183088 284456 354733 366176 423391 568912 709466 846782 1137824 1418932 1693564 2837864 3387128 5675728 6774256 10996723 11351456 13125121 13548512 21993446 26250242 43986892 52500484 87973784 105000968 175947568 210001936 351895136 406878751 420003872 813757502 1627515004 3255030008 6510060016 13020120032