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132345213 = 37111344071
BaseRepresentation
bin1111110001101…
…10110101111101
3100020000211111120
413320312311331
5232340021323
621044341153
73164626050
oct770666575
9306024446
10132345213
1168783a10
12383a47b9
132155a0a0
1413810a97
15b9435e3
hex7e36d7d

132345213 has 32 divisors (see below), whose sum is σ = 236931072. Its totient is φ = 63460800.

The previous prime is 132345163. The next prime is 132345217. The reversal of 132345213 is 312543231.

It is not a de Polignac number, because 132345213 - 213 = 132337021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132345217) 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 31 ways as a sum of consecutive naturals, for example, 19033 + ... + 25038.

It is an arithmetic number, because the mean of its divisors is an integer number (7404096).

Almost surely, 2132345213 is an apocalyptic number.

132345213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132345213 is a deficient number, since it is larger than the sum of its proper divisors (104585859).

132345213 is a wasteful number, since it uses less digits than its factorization.

132345213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44105.

The product of its digits is 2160, while the sum is 24.

The square root of 132345213 is about 11504.1389508298. The cubic root of 132345213 is about 509.6078145995.

Adding to 132345213 its reverse (312543231), we get a palindrome (444888444).

The spelling of 132345213 in words is "one hundred thirty-two million, three hundred forty-five thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 44071 132213 308497 484781 572923 925491 1454343 1718769 3393467 4010461 6302153 10180401 12031383 18906459 44115071 132345213