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3133446443313 = 373137313333667
BaseRepresentation
bin101101100110001111111…
…101100101000100110001
3102002112222021021222111120
4231212033331211010301
5402314244242141223
610355252503532453
7442245503211114
oct55461775450461
912075867258446
103133446443313
11aa898391276a
12427348a5a129
1319963773bab4
14ab933dbc57b
1556794e35be3
hex2d98ff65131

3133446443313 has 32 divisors (see below), whose sum is σ = 4279716525696. Its totient is φ = 2038768662528.

The previous prime is 3133446443251. The next prime is 3133446443333.

3133446443313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133446443313 - 228 = 3133178007857 is a prime.

It is a super-2 number, since 2×31334464433132 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3133446443333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9224106 + ... + 9557772.

It is an arithmetic number, because the mean of its divisors is an integer number (133741141428).

Almost surely, 23133446443313 is an apocalyptic number.

It is an amenable number.

3133446443313 is a deficient number, since it is larger than the sum of its proper divisors (1146270082383).

3133446443313 is a wasteful number, since it uses less digits than its factorization.

3133446443313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334193.

The product of its digits is 1119744, while the sum is 42.

The spelling of 3133446443313 in words is "three trillion, one hundred thirty-three billion, four hundred forty-six million, four hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 73 137 219 313 411 939 10001 22849 30003 42881 68547 128643 333667 1001001 3130313 9390939 24357691 45712379 73073073 104437771 137137137 313313313 3337003667 7623957283 10011011001 14307974627 22871871849 42923923881 1044482147771 3133446443313