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132353431 = 7231276473
BaseRepresentation
bin1111110001110…
…00110110010111
3100020001020202221
413320320312113
5232340302211
621044443211
73164662030
oct770706627
9306036687
10132353431
116878a101
12383a9507
1321560a52
1413813a87
15b945c71
hex7e38d97

132353431 has 16 divisors (see below), whose sum is σ = 159105024. Its totient is φ = 107642304.

The previous prime is 132353407. The next prime is 132353447. The reversal of 132353431 is 134353231.

It is not a de Polignac number, because 132353431 - 211 = 132351383 is a prime.

It is a super-2 number, since 2×1323534312 = 35034861394943522, 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 = 132353396 and 132353405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132353401) 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, 17211 + ... + 23683.

It is an arithmetic number, because the mean of its divisors is an integer number (9944064).

Almost surely, 2132353431 is an apocalyptic number.

132353431 is a deficient number, since it is larger than the sum of its proper divisors (26751593).

132353431 is a wasteful number, since it uses less digits than its factorization.

132353431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630.

The product of its digits is 3240, while the sum is 25.

The square root of 132353431 is about 11504.4961210824. The cubic root of 132353431 is about 509.6183624444.

The spelling of 132353431 in words is "one hundred thirty-two million, three hundred fifty-three thousand, four hundred thirty-one".

Divisors: 1 7 23 127 161 889 2921 6473 20447 45311 148879 822071 1042153 5754497 18907633 132353431