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10131100210 = 2571161215693
BaseRepresentation
bin10010110111101110…
…00101001000110010
3222011001110012210201
421123313011020302
5131222030201320
64353144345414
7506025634210
oct113367051062
928131405721
1010131100210
1143298185a0
121b68a7526a
13c55bcc96a
146c172bcb0
153e465770a
hex25bdc5232

10131100210 has 64 divisors (see below), whose sum is σ = 23108592384. Its totient is φ = 3105964800.

The previous prime is 10131100201. The next prime is 10131100211. The reversal of 10131100210 is 1200113101.

10131100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10131100211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60877 + ... + 154816.

It is an arithmetic number, because the mean of its divisors is an integer number (361071756).

Almost surely, 210131100210 is an apocalyptic number.

10131100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131100210 is an abundant number, since it is smaller than the sum of its proper divisors (12977492174).

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

10131100210 is a wasteful number, since it uses less digits than its factorization.

10131100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215779.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10131100210 its reverse (1200113101), we get a palindrome (11331213311).

The spelling of 10131100210 in words is "ten billion, one hundred thirty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 61 70 77 110 122 154 305 385 427 610 671 770 854 1342 2135 3355 4270 4697 6710 9394 23485 46970 215693 431386 1078465 1509851 2156930 2372623 3019702 4745246 7549255 11863115 13157273 15098510 16608361 23726230 26314546 33216722 65786365 83041805 92100911 131572730 144730003 166083610 184201822 289460006 460504555 723650015 921009110 1013110021 1447300030 2026220042 5065550105 10131100210