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132312003 = 317347191
BaseRepresentation
bin1111110001011…
…10101111000011
3100012222010221120
413320232233003
5232332441003
621043523323
73164430165
oct770565703
9305863846
10132312003
1168760a6a
1238389543
1321547c35
1413802935
15b938853
hex7e2ebc3

132312003 has 32 divisors (see below), whose sum is σ = 192430080. Its totient is φ = 80827520.

The previous prime is 132311987. The next prime is 132312013. The reversal of 132312003 is 300213231.

It is not a de Polignac number, because 132312003 - 24 = 132311987 is a prime.

It is a super-2 number, since 2×1323120032 = 35012932275744018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312013) 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 31 ways as a sum of consecutive naturals, for example, 692638 + ... + 692828.

It is an arithmetic number, because the mean of its divisors is an integer number (6013440).

Almost surely, 2132312003 is an apocalyptic number.

132312003 is a deficient number, since it is larger than the sum of its proper divisors (60118077).

132312003 is an equidigital number, since it uses as much as digits as its factorization.

132312003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132312003 is about 11502.6954667156. The cubic root of 132312003 is about 509.5651849469.

Adding to 132312003 its reverse (300213231), we get a palindrome (432525234).

The spelling of 132312003 in words is "one hundred thirty-two million, three hundred twelve thousand, three".

Divisors: 1 3 17 47 51 141 191 289 573 799 867 2397 3247 4913 8977 9741 13583 14739 26931 40749 55199 152609 165597 230911 457827 692733 938383 2594353 2815149 7783059 44104001 132312003