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331515053 = 41253612
BaseRepresentation
bin10011110000101…
…000010010101101
3212002210201011022
4103300220102231
51134331440203
652521303525
711133555122
oct2360502255
9762721138
10331515053
1116014a191
1293034ba5
13538b356c
1432058749
151e186a38
hex13c284ad

331515053 has 18 divisors (see below), whose sum is σ = 351977886. Its totient is φ = 312124800.

The previous prime is 331515049. The next prime is 331515083. The reversal of 331515053 is 350515133.

It can be written as a sum of positive squares in 9 ways, for example, as 326416489 + 5098564 = 18067^2 + 2258^2 .

It is not a de Polignac number, because 331515053 - 22 = 331515049 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331515013) 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, 5434643 + ... + 5434703.

It is an arithmetic number, because the mean of its divisors is an integer number (19554327).

Almost surely, 2331515053 is an apocalyptic number.

It is an amenable number.

331515053 is a deficient number, since it is larger than the sum of its proper divisors (20462833).

331515053 is an frugal number, since it uses more digits than its factorization.

331515053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 26.

The square root of 331515053 is about 18207.5548330906. The cubic root of 331515053 is about 692.0982498575.

The spelling of 331515053 in words is "three hundred thirty-one million, five hundred fifteen thousand, fifty-three".

Divisors: 1 41 53 61 1681 2173 2501 3233 3721 89093 102541 132553 152561 197213 5434673 6255001 8085733 331515053