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133402331 = 3183139373
BaseRepresentation
bin1111111001110…
…00111011011011
3100022000112121002
413330320323123
5233122333311
621123135215
73206621036
oct774707333
9308015532
10133402331
1169336167
123881450b
132183a2ba
1413a0801d
15baa193b
hex7f38edb

133402331 has 16 divisors (see below), whose sum is σ = 140743680. Its totient is φ = 126286560.

The previous prime is 133402327. The next prime is 133402333. The reversal of 133402331 is 133204331.

It is not a de Polignac number, because 133402331 - 22 = 133402327 is a prime.

It is a super-3 number, since 3×1334023313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133402333) 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 15 ways as a sum of consecutive naturals, for example, 357461 + ... + 357833.

It is an arithmetic number, because the mean of its divisors is an integer number (8796480).

Almost surely, 2133402331 is an apocalyptic number.

133402331 is a deficient number, since it is larger than the sum of its proper divisors (7341349).

133402331 is a wasteful number, since it uses less digits than its factorization.

133402331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 133402331 is about 11549.9926839804. The cubic root of 133402331 is about 510.9610623374.

Adding to 133402331 its reverse (133204331), we get a palindrome (266606662).

The spelling of 133402331 in words is "one hundred thirty-three million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 31 83 139 373 2573 4309 11537 11563 30959 51847 357647 959729 1607257 4303301 133402331