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332010133 = 7213240093
BaseRepresentation
bin10011110010100…
…001001010010101
3212010201212021121
4103302201022111
51134443311013
652540043541
711141016400
oct2362411225
9763655247
10332010133
11160458144
12932335b1
1353a27a00
1432146d37
151e23358d
hex13ca1295

332010133 has 18 divisors (see below), whose sum is σ = 418220514. Its totient is φ = 262682784.

The previous prime is 332010127. The next prime is 332010137. The reversal of 332010133 is 331010233.

It can be written as a sum of positive squares in 3 ways, for example, as 23059204 + 308950929 = 4802^2 + 17577^2 .

It is not a de Polignac number, because 332010133 - 221 = 329912981 is a prime.

It is a super-2 number, since 2×3320101332 = 220461456829355378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332010137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11766 + ... + 28327.

It is an arithmetic number, because the mean of its divisors is an integer number (23234473).

Almost surely, 2332010133 is an apocalyptic number.

It is an amenable number.

332010133 is a deficient number, since it is larger than the sum of its proper divisors (86210381).

332010133 is a wasteful number, since it uses less digits than its factorization.

332010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40133 (or 40113 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 332010133 is about 18221.1452164786. The cubic root of 332010133 is about 692.4426018190.

Adding to 332010133 its reverse (331010233), we get a palindrome (663020366).

The spelling of 332010133 in words is "three hundred thirty-two million, ten thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 169 637 1183 8281 40093 280651 521209 1964557 3648463 6775717 25539241 47430019 332010133