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10122131310 = 2351093095453
BaseRepresentation
bin10010110110101001…
…10111011101101110
3222010102120112210020
421123110313131232
5131212231200220
64352224223010
7505556460624
oct113324673556
928112515706
1010122131310
114324752085
121b65a6aa66
13c540ac515
146c0475514
153e3985040
hex25b53776e

10122131310 has 32 divisors (see below), whose sum is σ = 24515995680. Its totient is φ = 2674470528.

The previous prime is 10122131303. The next prime is 10122131311. The reversal of 10122131310 is 1313122101.

It is a happy number.

It is a super-2 number, since 2×101221313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122131310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122131311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544457 + ... + 1550996.

It is an arithmetic number, because the mean of its divisors is an integer number (766124865).

Almost surely, 210122131310 is an apocalyptic number.

10122131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122131310 is an abundant number, since it is smaller than the sum of its proper divisors (14393864370).

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

10122131310 is a wasteful number, since it uses less digits than its factorization.

10122131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095572.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10122131310 its reverse (1313122101), we get a palindrome (11435253411).

The spelling of 10122131310 in words is "ten billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1635 3270 3095453 6190906 9286359 15477265 18572718 30954530 46431795 92863590 337404377 674808754 1012213131 1687021885 2024426262 3374043770 5061065655 10122131310