Search a number
-
+
21131251140024 = 233458439558017
BaseRepresentation
bin1001100111000000000001…
…01101111100010110111000
32202211010110020001200020000
410303200000231330112320
510232203300242440044
6112535321320033000
74310453050036554
oct463400055742670
982733406050200
1021131251140024
116807793418083
122453465302760
13ba388c71282c
14530a87db2864
15269a141edd69
hex133800b7c5b8

21131251140024 has 80 divisors (see below), whose sum is σ = 59188188034800. Its totient is φ = 7043617225728.

The previous prime is 21131251140023. The next prime is 21131251140037. The reversal of 21131251140024 is 42004115213112.

21131251140024 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 251 + 1 + 400 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21131251140024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131251140023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37589464 + ... + 38147480.

It is an arithmetic number, because the mean of its divisors is an integer number (739852350435).

Almost surely, 221131251140024 is an apocalyptic number.

21131251140024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21131251140024 is an abundant number, since it is smaller than the sum of its proper divisors (38056936894776).

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

21131251140024 is a wasteful number, since it uses less digits than its factorization.

21131251140024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616474 (or 616461 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 21131251140024 its reverse (42004115213112), we get a palindrome (63135366353136).

The spelling of 21131251140024 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred fifty-one million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 58439 116878 175317 233756 350634 467512 525951 558017 701268 1051902 1116034 1402536 1577853 1674051 2103804 2232068 3155706 3348102 4207608 4464136 4733559 5022153 6311412 6696204 9467118 10044306 12622824 13392408 15066459 18934236 20088612 30132918 37868472 40177224 45199377 60265836 90398754 120531672 180797508 361595016 32609955463 65219910926 97829866389 130439821852 195659732778 260879643704 293489599167 391319465556 586979198334 782638931112 880468797501 1173958396668 1760937595002 2347916793336 2641406392503 3521875190004 5282812785006 7043750380008 10565625570012 21131251140024