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131050414341 = 32711733257989
BaseRepresentation
bin111101000001100110…
…1101010000100000101
3110112021010110211012200
41322003031222010011
54121342401224331
6140112001105113
712316360066560
oct1720315520405
9415233424180
10131050414341
115063a5a6a60
1221494628199
13c4866b3892
1464b2bbb4d7
1536201a25e6
hex1e8336a105

131050414341 has 48 divisors (see below), whose sum is σ = 236327095680. Its totient is φ = 67984997760.

The previous prime is 131050414337. The next prime is 131050414357. The reversal of 131050414341 is 143414050131.

131050414341 is a `hidden beast` number, since 1 + 3 + 10 + 504 + 143 + 4 + 1 = 666.

It is not a de Polignac number, because 131050414341 - 22 = 131050414337 is a prime.

It is a super-2 number, since 2×1310504143412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131050414301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378975 + ... + 636963.

It is an arithmetic number, because the mean of its divisors is an integer number (4923481160).

Almost surely, 2131050414341 is an apocalyptic number.

131050414341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131050414341 is a deficient number, since it is larger than the sum of its proper divisors (105276681339).

131050414341 is a wasteful number, since it uses less digits than its factorization.

131050414341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258746 (or 258743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131050414341 its reverse (143414050131), we get a palindrome (274464464472).

The spelling of 131050414341 in words is "one hundred thirty-one billion, fifty million, four hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 733 2199 5131 6597 8063 15393 24189 46179 56441 72567 169323 257989 507969 773967 1805923 2321901 2837879 5417769 8513637 16253307 19865153 25540911 59595459 178786377 189105937 567317811 1323741559 1701953433 2080165307 3971224677 6240495921 11913674031 14561157149 18721487763 43683471447 131050414341