Search a number
-
+
20221140131104 = 25111929104258477
BaseRepresentation
bin1001001100100000110011…
…10111111101110100100000
32122121010022000122010020211
410212100121313331310200
510122300343333143404
6111001244042343504
74154633463101113
oct446203167756440
978533260563224
1020221140131104
116496812492670
122326baaabab94
13b38acb26c913
144dc9cbc0c57a
15250ee91d7b04
hex126419dfdd20

20221140131104 has 96 divisors (see below), whose sum is σ = 47291645620800. Its totient is φ = 8407403504640.

The previous prime is 20221140131041. The next prime is 20221140131111. The reversal of 20221140131104 is 40113104112202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51935287 + ... + 52323190.

It is an arithmetic number, because the mean of its divisors is an integer number (492621308550).

Almost surely, 220221140131104 is an apocalyptic number.

It is an amenable number.

20221140131104 is an abundant number, since it is smaller than the sum of its proper divisors (27070505489696).

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

20221140131104 is a wasteful number, since it uses less digits than its factorization.

20221140131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104258546 (or 104258538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 20221140131104 its reverse (40113104112202), we get a palindrome (60334244243306).

The spelling of 20221140131104 in words is "twenty trillion, two hundred twenty-one billion, one hundred forty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 76 88 116 152 176 209 232 304 319 352 418 464 551 608 638 836 928 1102 1276 1672 2204 2552 3344 4408 5104 6061 6688 8816 10208 12122 17632 24244 48488 96976 193952 104258477 208516954 417033908 834067816 1146843247 1668135632 1980911063 2293686494 3023495833 3336271264 3961822126 4587372988 6046991666 7923644252 9174745976 12093983332 15847288504 18349491952 21790021693 24187966664 31694577008 33258454163 36698983904 43580043386 48375933328 57446420827 63389154016 66516908326 87160086772 96751866656 114892841654 133033816652 174320173544 229785683308 266067633304 348640347088 459571366616 532135266608 631910629097 697280694176 919142733232 1064270533216 1263821258194 1838285466464 2527642516388 5055285032776 10110570065552 20221140131104