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10131100112 = 24791998429
BaseRepresentation
bin10010110111101110…
…00101000111010000
3222011001110012200002
421123313011013100
5131222030200422
64353144345132
7506025634010
oct113367050720
928131405602
1010131100112
114329818511
121b68a751a8
13c55bcc8c3
146c172bc40
153e4657692
hex25bdc51d0

10131100112 has 40 divisors (see below), whose sum is σ = 22457788800. Its totient is φ = 4337131392.

The previous prime is 10131100103. The next prime is 10131100141. The reversal of 10131100112 is 21100113101.

It is a happy number.

10131100112 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 = 10131100093 and 10131100102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53714 + ... + 152142.

It is an arithmetic number, because the mean of its divisors is an integer number (561444720).

Almost surely, 210131100112 is an apocalyptic number.

It is an amenable number.

10131100112 is an abundant number, since it is smaller than the sum of its proper divisors (12326688688).

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

10131100112 is an equidigital number, since it uses as much as digits as its factorization.

10131100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99363 (or 99357 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10131100112 its reverse (21100113101), we get a palindrome (31231213213).

The spelling of 10131100112 in words is "ten billion, one hundred thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 919 1838 3676 6433 7352 12866 14704 25732 51464 98429 102928 196858 393716 689003 787432 1378006 1574864 2756012 5512024 11024048 90456251 180912502 361825004 633193757 723650008 1266387514 1447300016 2532775028 5065550056 10131100112