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131123234133 = 3312853377843
BaseRepresentation
bin111101000011110001…
…1011100010101010101
3110112110012111110012000
41322013203130111111
54122020021443013
6140123121545513
712321233046303
oct1720743342525
9415405443160
10131123234133
1150677713601
12214b4aa5299
13c4987cba08
1464bc735273
153626788973
hex1e878dc555

131123234133 has 16 divisors (see below), whose sum is σ = 194272271040. Its totient is φ = 87408456912.

The previous prime is 131123234129. The next prime is 131123234153. The reversal of 131123234133 is 331432321131.

131123234133 is a `hidden beast` number, since 1 + 3 + 11 + 232 + 3 + 413 + 3 = 666.

It is not a de Polignac number, because 131123234133 - 22 = 131123234129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131123234097 and 131123234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123234153) 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, 158110 + ... + 535952.

It is an arithmetic number, because the mean of its divisors is an integer number (12142016940).

Almost surely, 2131123234133 is an apocalyptic number.

It is an amenable number.

131123234133 is a deficient number, since it is larger than the sum of its proper divisors (63149036907).

131123234133 is a wasteful number, since it uses less digits than its factorization.

131123234133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390705 (or 390699 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 131123234133 its reverse (331432321131), we get a palindrome (462555555264).

The spelling of 131123234133 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 27 12853 38559 115677 347031 377843 1133529 3400587 10201761 4856416079 14569248237 43707744711 131123234133