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22131201231020 = 225721671103122599
BaseRepresentation
bin1010000100000110100100…
…11000110100100010101100
32220100201111110120110102102
411002003102120310202230
510400044200003343040
6115022533344514232
74442632540420400
oct502032230644254
986321443513372
1022131201231020
117062876154662
12259521261b978
13c46c6a5554cb
14567227947100
15285a3b3a7515
hex1420d26348ac

22131201231020 has 144 divisors (see below), whose sum is σ = 54436848076800. Its totient is φ = 7535504704896.

The previous prime is 22131201231011. The next prime is 22131201231047. The reversal of 22131201231020 is 2013210213122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22131201230983 and 22131201231001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180455681 + ... + 180578279.

It is an arithmetic number, because the mean of its divisors is an integer number (378033667200).

Almost surely, 222131201231020 is an apocalyptic number.

22131201231020 is a gapful number since it is divisible by the number (20) 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 22131201231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27218424038400).

22131201231020 is an abundant number, since it is smaller than the sum of its proper divisors (32305646845780).

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

22131201231020 is a wasteful number, since it uses less digits than its factorization.

22131201231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123892 (or 123883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22131201231020 its reverse (2013210213122), we get a palindrome (24144411444142).

The spelling of 22131201231020 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 167 196 245 334 490 668 835 980 1103 1169 1670 2206 2338 3340 4412 4676 5515 5845 7721 8183 11030 11690 15442 16366 22060 23380 30884 32732 38605 40915 54047 77210 81830 108094 122599 154420 163660 184201 216188 245198 270235 368402 490396 540470 612995 736804 858193 921005 1080940 1225990 1289407 1716386 1842010 2451980 2578814 3432772 3684020 4290965 5157628 6007351 6447035 8581930 9025849 12014702 12894070 17163860 18051698 20474033 24029404 25788140 30036755 36103396 40948066 45129245 60073510 81896132 90258490 102370165 120147020 135226697 143318231 180516980 204740330 270453394 286636462 409480660 540906788 573272924 676133485 716591155 946586879 1003227617 1352266970 1433182310 1893173758 2006455234 2704533940 2866364620 3786347516 4012910468 4732934395 5016138085 6626108153 9465868790 10032276170 13252216306 18931737580 20064552340 22582858399 26504432612 33130540765 45165716798 66261081530 90331433596 112914291995 132522163060 158080008793 225828583990 316160017586 451657167980 632320035172 790400043965 1106560061551 1580800087930 2213120123102 3161600175860 4426240246204 5532800307755 11065600615510 22131201231020