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13012132233120 = 253563421427439
BaseRepresentation
bin1011110101011001111110…
…0001001111111110100000
31201001221120212102211100220
42331112133201033332200
53201142321322424440
643401405132243040
72512044524026416
oct275263741177640
951057525384326
1013012132233120
114167461469039
121561a08910480
1373506733ac97
1432db0d4252b6
1517871e8278d0
hexbd59f84ffa0

13012132233120 has 96 divisors (see below), whose sum is σ = 40988958716160. Its totient is φ = 3469839098880.

The previous prime is 13012132233097. The next prime is 13012132233127. The reversal of 13012132233120 is 2133223121031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13012132233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30228361 + ... + 30655799.

It is an arithmetic number, because the mean of its divisors is an integer number (426968319960).

Almost surely, 213012132233120 is an apocalyptic number.

13012132233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13012132233120 is an abundant number, since it is smaller than the sum of its proper divisors (27976826483040).

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

13012132233120 is a wasteful number, since it uses less digits than its factorization.

13012132233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490878 (or 490870 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13012132233120 its reverse (2133223121031), we get a palindrome (15145355354151).

The spelling of 13012132233120 in words is "thirteen trillion, twelve billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 63421 126842 190263 253684 317105 380526 427439 507368 634210 761052 854878 951315 1014736 1268420 1282317 1522104 1709756 1902630 2029472 2137195 2536840 2564634 3044208 3419512 3805260 4274390 5073680 5129268 6088416 6411585 6839024 7610520 8548780 10147360 10258536 12823170 13678048 15221040 17097560 20517072 25646340 30442080 34195120 41034144 51292680 68390240 102585360 205170720 27108608819 54217217638 81325826457 108434435276 135543044095 162651652914 216868870552 271086088190 325303305828 406629132285 433737741104 542172176380 650606611656 813258264570 867475482208 1084344352760 1301213223312 1626516529140 2168688705520 2602426446624 3253033058280 4337377411040 6506066116560 13012132233120