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10013120320 = 26574470143
BaseRepresentation
bin10010101001101010…
…00001011101000000
3221211211110012211011
421110311001131000
5131001324322240
64333331530304
7503064055420
oct112465013500
927754405734
1010013120320
114279166555
121b35459994
13c37632388
146adbba480
153d91006ea
hex254d41740

10013120320 has 56 divisors (see below), whose sum is σ = 27249997824. Its totient is φ = 3433069056.

The previous prime is 10013120317. The next prime is 10013120333. The reversal of 10013120320 is 2302131001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 10013120320.

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 7 ways as a sum of consecutive naturals, for example, 2232832 + ... + 2237311.

It is an arithmetic number, because the mean of its divisors is an integer number (486607104).

Almost surely, 210013120320 is an apocalyptic number.

10013120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013120320 is an abundant number, since it is smaller than the sum of its proper divisors (17236877504).

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

10013120320 is an equidigital number, since it uses as much as digits as its factorization.

10013120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470167 (or 4470157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10013120320 its reverse (2302131001), we get a palindrome (12315251321).

The spelling of 10013120320 in words is "ten billion, thirteen million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4470143 8940286 17880572 22350715 31291001 35761144 44701430 62582002 71522288 89402860 125164004 143044576 156455005 178805720 250328008 286089152 312910010 357611440 500656016 625820020 715222880 1001312032 1251640040 1430445760 2002624064 2503280080 5006560160 10013120320