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133120102320 = 24335197312841
BaseRepresentation
bin111101111111010010…
…0111000111110110000
3110201121100221212101000
41323332210320332300
54140112221233240
6141053213442000
712421561125402
oct1737644707660
9421540855330
10133120102320
1151501911197
12219717a0300
13c72641a71a
14662ba16b72
1536e1c2d430
hex1efe938fb0

133120102320 has 160 divisors (see below), whose sum is σ = 460853807040. Its totient is φ = 35318384640.

The previous prime is 133120102307. The next prime is 133120102321. The reversal of 133120102320 is 23201021331.

133120102320 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 10 + 2 + 320 = 666.

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 = 133120102293 and 133120102302.

It is not an unprimeable number, because it can be changed into a prime (133120102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269100 + ... + 581940.

It is an arithmetic number, because the mean of its divisors is an integer number (2880336294).

Almost surely, 2133120102320 is an apocalyptic number.

133120102320 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 133120102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230426903520).

133120102320 is an abundant number, since it is smaller than the sum of its proper divisors (327733704720).

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

133120102320 is a wasteful number, since it uses less digits than its factorization.

133120102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313060 (or 313048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133120102320 its reverse (23201021331), we get a palindrome (156321123651).

The spelling of 133120102320 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 197 216 240 270 360 394 432 540 591 720 788 985 1080 1182 1576 1773 1970 2160 2364 2955 3152 3546 3940 4728 5319 5910 7092 7880 8865 9456 10638 11820 14184 15760 17730 21276 23640 26595 28368 35460 42552 47280 53190 70920 85104 106380 141840 212760 312841 425520 625682 938523 1251364 1564205 1877046 2502728 2815569 3128410 3754092 4692615 5005456 5631138 6256820 7508184 8446707 9385230 11262276 12513640 14077845 15016368 16893414 18770460 22524552 25027280 28155690 33786828 37540920 42233535 45049104 56311380 61629677 67573656 75081840 84467070 112622760 123259354 135147312 168934140 184889031 225245520 246518708 308148385 337868280 369778062 493037416 554667093 616296770 675736560 739556124 924445155 986074832 1109334186 1232593540 1479112248 1664001279 1848890310 2218668372 2465187080 2773335465 2958224496 3328002558 3697780620 4437336744 4930374160 5546670930 6656005116 7395561240 8320006395 8874673488 11093341860 13312010232 14791122480 16640012790 22186683720 26624020464 33280025580 44373367440 66560051160 133120102320