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10140110292 = 223131731123341
BaseRepresentation
bin10010111000110010…
…11100110111010100
3222011200101222022110
421130121130313110
5131231332012132
64354105431020
7506165341524
oct113431346724
928150358273
1010140110292
114333911a44
121b6ba9b470
13c57a35a80
146c29d5684
153e53371cc
hex25c65cdd4

10140110292 has 96 divisors (see below), whose sum is σ = 27849636864. Its totient is φ = 2841753600.

The previous prime is 10140110291. The next prime is 10140110293. The reversal of 10140110292 is 29201104101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10140110291) and next prime (10140110293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140110291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20542 + ... + 143882.

It is an arithmetic number, because the mean of its divisors is an integer number (290100384).

Almost surely, 210140110292 is an apocalyptic number.

10140110292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140110292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924818432).

10140110292 is an abundant number, since it is smaller than the sum of its proper divisors (17709526572).

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

10140110292 is a wasteful number, since it uses less digits than its factorization.

10140110292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123409 (or 123407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10140110292 its reverse (29201104101), we get a palindrome (39341214393).

The spelling of 10140110292 in words is "ten billion, one hundred forty million, one hundred ten thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 3162 4836 6324 6851 13702 20553 27404 41106 82212 123341 246682 370023 493364 740046 1480092 1603433 2096797 3206866 3823571 4193594 4810299 6290391 6413732 7647142 8387188 9620598 11470713 12580782 15294284 19241196 22941426 25161564 27258361 45882852 49706423 54516722 65000707 81775083 99412846 109033444 130001414 149119269 163550166 195002121 198825692 260002828 298238538 327100332 390004242 596477076 780008484 845009191 1690018382 2535027573 3380036764 5070055146 10140110292