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131114131242 = 23109200480323
BaseRepresentation
bin111101000011100000…
…0101101111100101010
3110112102120100222100220
41322013000231330222
54122010204144432
6140122154510510
712321062504253
oct1720700557452
9415376328326
10131114131242
1150672566456
12214b1a35436
13c4969625a3
1464bb445b2a
153625a8b72c
hex1e8702df2a

131114131242 has 16 divisors (see below), whose sum is σ = 264634027680. Its totient is φ = 43303749552.

The previous prime is 131114131217. The next prime is 131114131271. The reversal of 131114131242 is 242131411131.

131114131242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311141312422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100239508 + ... + 100240815.

It is an arithmetic number, because the mean of its divisors is an integer number (16539626730).

Almost surely, 2131114131242 is an apocalyptic number.

131114131242 is an abundant number, since it is smaller than the sum of its proper divisors (133519896438).

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

131114131242 is a wasteful number, since it uses less digits than its factorization.

131114131242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200480437.

The product of its digits is 576, while the sum is 24.

Adding to 131114131242 its reverse (242131411131), we get a palindrome (373245542373).

The spelling of 131114131242 in words is "one hundred thirty-one billion, one hundred fourteen million, one hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 109 218 327 654 200480323 400960646 601440969 1202881938 21852355207 43704710414 65557065621 131114131242