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3130220313 = 3211371575443
BaseRepresentation
bin1011101010010011…
…0101111100011001
322002011001200000200
42322210311330121
522402314022223
61234335252413
7140366301513
oct27244657431
98064050020
103130220313
111366a22940
1273437a109
133ab67938c
14219a22bb3
15134c17a43
hexba935f19

3130220313 has 48 divisors (see below), whose sum is σ = 5098981056. Its totient is φ = 1833736320.

The previous prime is 3130220297. The next prime is 3130220323.

3130220313 is a `hidden beast` number, since 3 + 130 + 220 + 313 = 666.

3130220313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3130220313 - 24 = 3130220297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3130220323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572370 + ... + 577812.

It is an arithmetic number, because the mean of its divisors is an integer number (106228772).

Almost surely, 23130220313 is an apocalyptic number.

3130220313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3130220313 is a deficient number, since it is larger than the sum of its proper divisors (1968760743).

3130220313 is a wasteful number, since it uses less digits than its factorization.

3130220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130220313 is about 55948.3718529860. The cubic root of 3130220313 is about 1462.8225115611.

It can be divided in two parts, 31302 and 20313, that added together give a palindrome (51615).

The spelling of 3130220313 in words is "three billion, one hundred thirty million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 37 99 111 157 333 407 471 1221 1413 1727 3663 5181 5443 5809 15543 16329 17427 48987 52281 59873 63899 179619 191697 201391 538857 575091 604173 854551 1812519 2215301 2563653 6645903 7690959 9400061 19937709 28200183 31618387 84600549 94855161 284565483 347802257 1043406771 3130220313