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3325212125233 = 172965531029277
BaseRepresentation
bin110000011000110110000…
…101100110100000110001
3102202212221202020222010021
4300120312011212200301
5413440013301001413
611023325324003441
7462144566465635
oct60306605464061
912685852228107
103325212125233
11107223a613909
12458546990581
131b1748b062bb
14b6d2663cdc5
155b76a52718d
hex30636166831

3325212125233 has 16 divisors (see below), whose sum is σ = 3642779526480. Its totient is φ = 3021229725696.

The previous prime is 3325212125227. The next prime is 3325212125239.

3325212125233 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3325212125227) and next prime (3325212125239).

It can be written as a sum of positive squares in 8 ways, for example, as 102641422129 + 3222570703104 = 320377^2 + 1795152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3325212125233 is a prime.

It is a super-2 number, since 2×33252121252332 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3325212125239) 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 15 ways as a sum of consecutive naturals, for example, 2715991 + ... + 3745267.

It is an arithmetic number, because the mean of its divisors is an integer number (227673720405).

Almost surely, 23325212125233 is an apocalyptic number.

It is an amenable number.

3325212125233 is a deficient number, since it is larger than the sum of its proper divisors (317567401247).

3325212125233 is a wasteful number, since it uses less digits than its factorization.

3325212125233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035876.

The product of its digits is 64800, while the sum is 34.

The spelling of 3325212125233 in words is "three trillion, three hundred twenty-five billion, two hundred twelve million, one hundred twenty-five thousand, two hundred thirty-three".

Divisors: 1 17 29 493 6553 111401 190037 1029277 3230629 17497709 29849033 507433561 6744852181 114662487077 195600713249 3325212125233