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132302313 = 321113176047
BaseRepresentation
bin1111110001011…
…00010111101001
3100012221122122200
413320230113221
5232332133223
621043410413
73164360013
oct770542751
9305848580
10132302313
1168754760
1238383a09
13215436c0
14137dd1b3
15b935a43
hex7e2c5e9

132302313 has 48 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 69649920.

The previous prime is 132302309. The next prime is 132302329. The reversal of 132302313 is 313203231.

It is not a de Polignac number, because 132302313 - 22 = 132302309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132302333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18856 + ... + 24902.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2132302313 is an apocalyptic number.

132302313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132302313 is a deficient number, since it is larger than the sum of its proper divisors (105456663).

132302313 is a wasteful number, since it uses less digits than its factorization.

132302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132302313 is about 11502.2742533814. The cubic root of 132302313 is about 509.5527451403.

Adding to 132302313 its reverse (313203231), we get a palindrome (445505544).

The spelling of 132302313 in words is "one hundred thirty-two million, three hundred two thousand, three hundred thirteen".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 6047 7293 18141 21879 54423 66517 78611 102799 199551 235833 308397 598653 707499 864721 925191 1130789 1336387 2594163 3392367 4009161 7782489 10177101 12027483 14700257 44100771 132302313