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131123233101 = 3721501759399
BaseRepresentation
bin111101000011110001…
…1011100000101001101
3110112110012111101202210
41322013203130011031
54122020021424401
6140123121541033
712321233043300
oct1720743340515
9415405441683
10131123233101
1150677712853
12214b4aa4779
13c4987cb3c3
1464bc734b37
1536267884d6
hex1e878dc14d

131123233101 has 24 divisors (see below), whose sum is σ = 203391777600. Its totient is φ = 74921310912.

The previous prime is 131123233099. The next prime is 131123233121. The reversal of 131123233101 is 101332321131.

It is a happy number.

It is not a de Polignac number, because 131123233101 - 21 = 131123233099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123233121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2177800 + ... + 2237198.

It is an arithmetic number, because the mean of its divisors is an integer number (8474657400).

Almost surely, 2131123233101 is an apocalyptic number.

It is an amenable number.

131123233101 is a deficient number, since it is larger than the sum of its proper divisors (72268544499).

131123233101 is a wasteful number, since it uses less digits than its factorization.

131123233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74433 (or 74426 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131123233101 its reverse (101332321131), we get a palindrome (232455554232).

The spelling of 131123233101 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 21 49 147 15017 45051 59399 105119 178197 315357 415793 735833 1247379 2207499 2910551 8731653 891994783 2675984349 6243963481 18731890443 43707744367 131123233101