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13112013120 = 263580916883
BaseRepresentation
bin11000011011000100…
…10111000101000000
31020211210120021120120
430031202113011000
5203323133404440
610005031540240
7642633162333
oct141542270500
936753507516
1013112013120
115619431588
12265b22a680
13130c66045b
148c55a661a
1551b1cadd0
hex30d897140

13112013120 has 112 divisors (see below), whose sum is σ = 41684569920. Its totient is φ = 3492007936.

The previous prime is 13112013073. The next prime is 13112013127. The reversal of 13112013120 is 2131021131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13112013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112013127) 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 15 ways as a sum of consecutive naturals, for example, 768199 + ... + 785081.

It is an arithmetic number, because the mean of its divisors is an integer number (372183660).

Almost surely, 213112013120 is an apocalyptic number.

13112013120 is a gapful number since it is divisible by the number (10) 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 13112013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842284960).

13112013120 is an abundant number, since it is smaller than the sum of its proper divisors (28572556800).

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

13112013120 is a wasteful number, since it uses less digits than its factorization.

13112013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13112013120 its reverse (2131021131), we get a palindrome (15243034251).

The spelling of 13112013120 in words is "thirteen billion, one hundred twelve million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 809 960 1618 2427 3236 4045 4854 6472 8090 9708 12135 12944 16180 16883 19416 24270 25888 32360 33766 38832 48540 50649 51776 64720 67532 77664 84415 97080 101298 129440 135064 155328 168830 194160 202596 253245 258880 270128 337660 388320 405192 506490 540256 675320 776640 810384 1012980 1080512 1350640 1620768 2025960 2701280 3241536 4051920 5402560 8103840 13658347 16207680 27316694 40975041 54633388 68291735 81950082 109266776 136583470 163900164 204875205 218533552 273166940 327800328 409750410 437067104 546333880 655600656 819500820 874134208 1092667760 1311201312 1639001640 2185335520 2622402624 3278003280 4370671040 6556006560 13112013120