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132102120031 = 7171597695117
BaseRepresentation
bin111101100000111100…
…1100110001001011111
3110121222102110000012021
41323001321212021133
54131021120320111
6140404210521011
712354420331120
oct1730171461137
9417872400167
10132102120031
115102a226012
1221728896167
13c5c355563b
146572748047
153682698d71
hex1ec1e6625f

132102120031 has 16 divisors (see below), whose sum is σ = 159954993216. Its totient is φ = 106502893056.

The previous prime is 132102120023. The next prime is 132102120047. The reversal of 132102120031 is 130021201231.

It is not a de Polignac number, because 132102120031 - 23 = 132102120023 is a prime.

It is a super-2 number, since 2×1321021200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132102119987 and 132102120014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132102120331) 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, 157516 + ... + 537601.

It is an arithmetic number, because the mean of its divisors is an integer number (9997187076).

Almost surely, 2132102120031 is an apocalyptic number.

132102120031 is a deficient number, since it is larger than the sum of its proper divisors (27852873185).

132102120031 is a wasteful number, since it uses less digits than its factorization.

132102120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696738.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132102120031 its reverse (130021201231), we get a palindrome (262123321262).

The spelling of 132102120031 in words is "one hundred thirty-two billion, one hundred two million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 17 119 1597 11179 27149 190043 695117 4865819 11816989 82718923 1110101849 7770712943 18871731433 132102120031