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133032330 = 23256592243
BaseRepresentation
bin1111110110111…
…10100110001010
3100021022202001100
413323132212022
5233024013310
621111202230
73203520234
oct773364612
9307282040
10133032330
1169103182
1238676376
132173aa72
141394d254
15ba2bec0
hex7ede98a

133032330 has 48 divisors (see below), whose sum is σ = 346563360. Its totient is φ = 35405664.

The previous prime is 133032323. The next prime is 133032337. The reversal of 133032330 is 33230331.

133032330 is a `hidden beast` number, since 1 + 330 + 3 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (133032323) and next prime (133032337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133032337) 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 23 ways as a sum of consecutive naturals, for example, 58189 + ... + 60431.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2133032330 is an apocalyptic number.

133032330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133032330 is an abundant number, since it is smaller than the sum of its proper divisors (213531030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133032330 is a wasteful number, since it uses less digits than its factorization.

133032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133032330 is about 11533.9641927656. The cubic root of 133032330 is about 510.4882291184.

Adding to 133032330 its reverse (33230331), we get a palindrome (166262661).

The spelling of 133032330 in words is "one hundred thirty-three million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 659 1318 1977 2243 3295 3954 4486 5931 6590 6729 9885 11215 11862 13458 19770 20187 22430 29655 33645 40374 59310 67290 100935 201870 1478137 2956274 4434411 7390685 8868822 13303233 14781370 22172055 26606466 44344110 66516165 133032330