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13353130908 = 22381339139
BaseRepresentation
bin11000110111110100…
…01001101110011100
31021110121021100000000
430123322021232130
5204321400142113
610045003534300
7651621511545
oct143372115634
937417240000
1013353130908
115732548987
122707b2a390
13134a5b2cc0
1490960d4cc
15532458373
hex31be89b9c

13353130908 has 108 divisors (see below), whose sum is σ = 37747320520. Its totient is φ = 4108550688.

The previous prime is 13353130883. The next prime is 13353130909. The reversal of 13353130908 is 80903135331.

It is a happy number.

13353130908 is a `hidden beast` number, since 1 + 3 + 3 + 531 + 30 + 90 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×133531309082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353130909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321603 + ... + 360741.

Almost surely, 213353130908 is an apocalyptic number.

13353130908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13353130908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873660260).

13353130908 is an abundant number, since it is smaller than the sum of its proper divisors (24394189612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13353130908 is an equidigital number, since it uses as much as digits as its factorization.

13353130908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39180 (or 39157 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13353130908 in words is "thirteen billion, three hundred fifty-three million, one hundred thirty thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2187 2916 3159 4212 4374 6318 6561 8748 9477 12636 13122 18954 26244 28431 37908 39139 56862 78278 85293 113724 117417 156556 170586 234834 341172 352251 469668 508807 704502 1017614 1056753 1409004 1526421 2035228 2113506 3052842 3170259 4227012 4579263 6105684 6340518 9158526 9510777 12681036 13737789 18317052 19021554 27475578 28532331 38043108 41213367 54951156 57064662 82426734 85596993 114129324 123640101 164853468 171193986 247280202 256790979 342387972 370920303 494560404 513581958 741840606 1027163916 1112760909 1483681212 2225521818 3338282727 4451043636 6676565454 13353130908