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101344112142 = 23713185611927
BaseRepresentation
bin101111001100010010…
…1000110111000001110
3100200120211211022110220
41132120211012320032
53130023043042032
6114320140012210
710215254511540
oct1363045067016
9320524738426
10101344112142
1139a86122489
1217783b31066
139731120b80
144c95785690
15298224012c
hex1798946e0e

101344112142 has 32 divisors (see below), whose sum is σ = 249462431232. Its totient is φ = 26728117344.

The previous prime is 101344112119. The next prime is 101344112147. The reversal of 101344112142 is 241211443101.

It is a happy number.

101344112142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344112147) 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, 92805418 + ... + 92806509.

It is an arithmetic number, because the mean of its divisors is an integer number (7795700976).

Almost surely, 2101344112142 is an apocalyptic number.

101344112142 is an abundant number, since it is smaller than the sum of its proper divisors (148118319090).

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

101344112142 is a wasteful number, since it uses less digits than its factorization.

101344112142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185611952.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101344112142 its reverse (241211443101), we get a palindrome (342555555243).

The spelling of 101344112142 in words is "one hundred one billion, three hundred forty-four million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 185611927 371223854 556835781 1113671562 1299283489 2412955051 2598566978 3897850467 4825910102 7238865153 7795700934 14477730306 16890685357 33781370714 50672056071 101344112142