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132122113031 = 2315138042647
BaseRepresentation
bin111101100001100010…
…1110111010000000111
3110122000211001202102202
41323003011313100013
54131041230104111
6140410203225115
712355052300546
oct1730305672007
9418024052382
10132122113031
115103a541057
122173351819b
13c5c773580c
14657527015d
1536842e7b3b
hex1ec3177407

132122113031 has 8 divisors (see below), whose sum is σ = 138779579904. Its totient is φ = 125540731800.

The previous prime is 132122113027. The next prime is 132122113103. The reversal of 132122113031 is 130311221231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132122113031 - 22 = 132122113027 is a prime.

It is a super-2 number, since 2×1321221130312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132122112994 and 132122113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122110031) 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 7 ways as a sum of consecutive naturals, for example, 19017851 + ... + 19024796.

It is an arithmetic number, because the mean of its divisors is an integer number (17347447488).

Almost surely, 2132122113031 is an apocalyptic number.

132122113031 is a deficient number, since it is larger than the sum of its proper divisors (6657466873).

132122113031 is a wasteful number, since it uses less digits than its factorization.

132122113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38042821.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132122113031 its reverse (130311221231), we get a palindrome (262433334262).

The spelling of 132122113031 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred thirteen thousand, thirty-one".

Divisors: 1 23 151 3473 38042647 874980881 5744439697 132122113031