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131031223111233 = 3315074533219343
BaseRepresentation
bin11101110010110000010101…
…100000100000111001000001
3122011221110111020020002211000
4131302300111200200321001
5114133303421104024413
61142402525104042213
736412456600422354
oct3562602540407101
9564843436202730
10131031223111233
1138829036518785
121284288b603369
13581626443c873
14244dd3327829b
151023651edc073
hex772c15820e41

131031223111233 has 16 divisors (see below), whose sum is σ = 194120519607040. Its totient is φ = 87354063658512.

The previous prime is 131031223111211. The next prime is 131031223111237. The reversal of 131031223111233 is 332111322130131.

131031223111233 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 312 + 2 + 3 + 111 + 233 = 666.

It is not a de Polignac number, because 131031223111233 - 218 = 131031222849089 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131031223111197 and 131031223111206.

It is not an unprimeable number, because it can be changed into a prime (131031223111237) 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 15 ways as a sum of consecutive naturals, for example, 39091560 + ... + 42310902.

It is an arithmetic number, because the mean of its divisors is an integer number (12132532475440).

Almost surely, 2131031223111233 is an apocalyptic number.

It is an amenable number.

131031223111233 is a deficient number, since it is larger than the sum of its proper divisors (63089296495807).

131031223111233 is a wasteful number, since it uses less digits than its factorization.

131031223111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726805 (or 4726799 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131031223111233 its reverse (332111322130131), we get a palindrome (463142545241364).

The spelling of 131031223111233 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred twenty-three million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 27 1507453 3219343 4522359 9658029 13567077 28974087 40701231 86922261 4853008263379 14559024790137 43677074370411 131031223111233