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131120120233 = 1741330156989
BaseRepresentation
bin111101000011101011…
…1100100000110101001
3110112102222122020201101
41322013113210012221
54122013222321413
6140122531121401
712321164430004
oct1720727440651
9415388566641
10131120120233
1150675987033
12214b3a43261
13c497c7b57b
1464bc16453b
153626370edd
hex1e875e41a9

131120120233 has 16 divisors (see below), whose sum is σ = 142264820880. Its totient is φ = 120358656000.

The previous prime is 131120120231. The next prime is 131120120251. The reversal of 131120120233 is 332021021131.

It can be written as a sum of positive squares in 8 ways, for example, as 739187344 + 130380932889 = 27188^2 + 361083^2 .

It is a cyclic number.

It is not a de Polignac number, because 131120120233 - 21 = 131120120231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131120120233.

It is not an unprimeable number, because it can be changed into a prime (131120120231) 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, 2272303 + ... + 2329291.

It is an arithmetic number, because the mean of its divisors is an integer number (8891551305).

Almost surely, 2131120120233 is an apocalyptic number.

It is an amenable number.

131120120233 is a deficient number, since it is larger than the sum of its proper divisors (11144700647).

131120120233 is a wasteful number, since it uses less digits than its factorization.

131120120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60348.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131120120233 its reverse (332021021131), we get a palindrome (463141141364).

The spelling of 131120120233 in words is "one hundred thirty-one billion, one hundred twenty million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 17 41 697 3301 56117 56989 135341 968813 2300797 2336549 39721333 188120689 3198051713 7712948249 131120120233