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10131872322 = 23112131956501
BaseRepresentation
bin10010110111110100…
…00001101001000010
3222011002220102221110
421123322001221002
5131222224403242
64353213104150
7506035331235
oct113372015102
928132812843
1010131872322
11432a1a5700
121b69188056
13c56110230
146c188d41c
153e475b39c
hex25be81a42

10131872322 has 96 divisors (see below), whose sum is σ = 25249613760. Its totient is φ = 2684880000.

The previous prime is 10131872299. The next prime is 10131872351. The reversal of 10131872322 is 22327813101.

It is a self number, because there is not a number n which added to its sum of digits gives 10131872322.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151072 + ... + 207572.

It is an arithmetic number, because the mean of its divisors is an integer number (263016810).

Almost surely, 210131872322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131872322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624806880).

10131872322 is an abundant number, since it is smaller than the sum of its proper divisors (15117741438).

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

10131872322 is a wasteful number, since it uses less digits than its factorization.

10131872322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56560 (or 56549 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10131872322 in words is "ten billion, one hundred thirty-one million, eight hundred seventy-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 121 143 209 242 247 286 363 418 429 494 627 726 741 858 1254 1482 1573 2299 2717 3146 4598 4719 5434 6897 8151 9438 13794 16302 29887 56501 59774 89661 113002 169503 179322 339006 621511 734513 1073519 1243022 1469026 1864533 2147038 2203539 3220557 3729066 4407078 6441114 6836621 8079643 11808709 13673242 13955747 16159286 20509863 23617418 24238929 27911494 35426127 41019726 41867241 48477858 70852254 83734482 88876073 129895799 153513217 177752146 259791598 266628219 307026434 389687397 460539651 533256438 779374794 921079302 1688645387 3377290774 5065936161 10131872322