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10131111342 = 23311171003279
BaseRepresentation
bin10010110111101110…
…00111110110101110
3222011001110210002000
421123313013312232
5131222031030332
64353144513130
7506026011522
oct113367076656
928131423060
1010131111342
1143298259a0
121b68a7b7a6
13c55c04a51
146c1731d82
153e465ab7c
hex25bdc7dae

10131111342 has 64 divisors (see below), whose sum is σ = 26005017600. Its totient is φ = 2889440640.

The previous prime is 10131111311. The next prime is 10131111379. The reversal of 10131111342 is 24311113101.

It is a happy number.

10131111342 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 11 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491542 + ... + 511737.

It is an arithmetic number, because the mean of its divisors is an integer number (406328400).

Almost surely, 210131111342 is an apocalyptic number.

10131111342 is an abundant number, since it is smaller than the sum of its proper divisors (15873906258).

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

10131111342 is a wasteful number, since it uses less digits than its factorization.

10131111342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003318 (or 1003312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131111342 its reverse (24311113101), we get a palindrome (34442224443).

The spelling of 10131111342 in words is "ten billion, one hundred thirty-one million, one hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 1003279 2006558 3009837 6019674 9029511 11036069 17055743 18059022 22072138 27088533 33108207 34111486 51167229 54177066 66216414 99324621 102334458 153501687 187613173 198649242 297973863 307003374 375226346 460505061 562839519 595947726 921010122 1125679038 1688518557 3377037114 5065555671 10131111342