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13113013032 = 23327157165719
BaseRepresentation
bin11000011011001100…
…01011001100101000
31020211212110002012100
430031212023030220
5203323412404112
610005105213400
7642644525460
oct141546131450
936755402170
1013113013032
115619a54859
12265b631260
13130c920612
148c5786ba0
1551b3272dc
hex30d98b328

13113013032 has 96 divisors (see below), whose sum is σ = 40846665600. Its totient is φ = 3722689152.

The previous prime is 13113013031. The next prime is 13113013037. The reversal of 13113013032 is 23031031131.

It is a happy number.

It is a super-2 number, since 2×131130130322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13113012996 and 13113013014.

It is not an unprimeable number, because it can be changed into a prime (13113013031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732 + ... + 161987.

It is an arithmetic number, because the mean of its divisors is an integer number (425486100).

Almost surely, 213113013032 is an apocalyptic number.

13113013032 is a gapful number since it is divisible by the number (12) 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 13113013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20423332800).

13113013032 is an abundant number, since it is smaller than the sum of its proper divisors (27733652568).

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

13113013032 is a wasteful number, since it uses less digits than its factorization.

13113013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165895 (or 165888 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13113013032 its reverse (23031031131), we get a palindrome (36144044163).

The spelling of 13113013032 in words is "thirteen billion, one hundred thirteen million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5652 6594 8792 9891 11304 13188 19782 26376 39564 79128 165719 331438 497157 662876 994314 1160033 1325752 1491471 1988628 2320066 2982942 3480099 3977256 4640132 5965884 6960198 9280264 10440297 11931768 13920396 20880594 26017883 27840792 41761188 52035766 78053649 83522376 104071532 156107298 182125181 208143064 234160947 312214596 364250362 468321894 546375543 624429192 728500724 936643788 1092751086 1457001448 1639126629 1873287576 2185502172 3278253258 4371004344 6556506516 13113013032