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132202031 = 13101107941
BaseRepresentation
bin1111110000100…
…11111000101111
3100012202120002112
413320103320233
5232320431111
621041314235
73163461443
oct770237057
9305676075
10132202031
1168696385
123833597b
1321509b70
14137b4823
15b915e8b
hex7e13e2f

132202031 has 16 divisors (see below), whose sum is σ = 145279008. Its totient is φ = 119568000.

The previous prime is 132202009. The next prime is 132202033. The reversal of 132202031 is 130202231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132202031 - 26 = 132201967 is a prime.

It is a super-2 number, since 2×1322020312 = 34954754001049922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132201997 and 132202015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140021 + ... + 140961.

It is an arithmetic number, because the mean of its divisors is an integer number (9079938).

Almost surely, 2132202031 is an apocalyptic number.

132202031 is a deficient number, since it is larger than the sum of its proper divisors (13076977).

132202031 is a wasteful number, since it uses less digits than its factorization.

132202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132202031 is about 11497.9142021499. The cubic root of 132202031 is about 509.4239696532.

Adding to 132202031 its reverse (130202231), we get a palindrome (262404262).

It can be divided in two parts, 13220 and 2031, that added together give a palindrome (15251).

The spelling of 132202031 in words is "one hundred thirty-two million, two hundred two thousand, thirty-one".

Divisors: 1 13 101 107 941 1313 1391 10807 12233 95041 100687 140491 1235533 1308931 10169387 132202031