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2312113313232 = 2433233166913763
BaseRepresentation
bin100001101001010100101…
…100010101010111010000
322012000222011002221121000
4201221110230111113100
5300340202002010412
64530100432302000
7326021215615422
oct41512454252720
98160864087530
102312113313232
1181161a763658
1231412a0a1900
1313a053b4cc38
147dc9a6a8812
1540223d414dc
hex21a54b155d0

2312113313232 has 160 divisors (see below), whose sum is σ = 6669582940800. Its totient is φ = 766881174528.

The previous prime is 2312113313231. The next prime is 2312113313261. The reversal of 2312113313232 is 2323133112132.

2312113313232 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 1 + 1 + 331 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2312113313196 and 2312113313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312113313231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167987983 + ... + 168001745.

It is an arithmetic number, because the mean of its divisors is an integer number (41684893380).

Almost surely, 22312113313232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312113313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334791470400).

2312113313232 is an abundant number, since it is smaller than the sum of its proper divisors (4357469627568).

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

2312113313232 is a wasteful number, since it uses less digits than its factorization.

2312113313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15682 (or 15670 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2312113313232 its reverse (2323133112132), we get a palindrome (4635246425364).

The spelling of 2312113313232 in words is "two trillion, three hundred twelve billion, one hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 932 1398 1669 1864 2097 2796 3338 3728 4194 5007 5592 6291 6676 8388 10014 11184 12582 13352 13763 15021 16776 20028 25164 26704 27526 30042 33552 40056 41289 45063 50328 55052 60084 80112 82578 90126 100656 110104 120168 123867 165156 180252 220208 240336 247734 330312 360504 371601 388877 495468 660624 721008 743202 777754 990936 1166631 1486404 1555508 1981872 2333262 2972808 3111016 3206779 3499893 4666524 5945616 6222032 6413558 6999786 9333048 9620337 10499679 12827116 13999572 18666096 19240674 20999358 22970447 25654232 27999144 28861011 38481348 41998716 45940894 51308464 55998288 57722022 68911341 76962696 83997432 86583033 91881788 115444044 137822682 153925392 167994864 173166066 183763576 206734023 230888088 275645364 346332132 367527152 413468046 461776176 551290728 620202069 692664264 826936092 1102581456 1240404138 1385328528 1653872184 2480808276 3307744368 4961616552 5352114151 9923233104 10704228302 16056342453 21408456604 32112684906 42816913208 48169027359 64225369812 85633826416 96338054718 128450739624 144507082077 192676109436 256901479248 289014164154 385352218872 578028328308 770704437744 1156056656616 2312113313232