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22104000040122 = 232711213111524839
BaseRepresentation
bin1010000011010011111010…
…00100100000110010111010
32220021010021202201210100200
411001221331010200302322
510344122443002240442
6115002234252543030
74440650504210010
oct501517504406272
986233252653320
1022104000040122
117052287855300
12258baa0a81a76
13c44523c91590
14565ba70d28b0
15284e9833034c
hex141a7d120cba

22104000040122 has 144 divisors (see below), whose sum is σ = 64789686648960. Its totient is φ = 5299660301760.

The previous prime is 22104000040103. The next prime is 22104000040141.

22104000040122 is a `hidden beast` number, since 2 + 210 + 400 + 0 + 0 + 40 + 12 + 2 = 666.

22104000040122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22104000040103) and next prime (22104000040141).

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 = 22104000040095 and 22104000040104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55564222 + ... + 55960617.

Almost surely, 222104000040122 is an apocalyptic number.

22104000040122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22104000040122 is an abundant number, since it is smaller than the sum of its proper divisors (42685686608838).

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

22104000040122 is a wasteful number, since it uses less digits than its factorization.

22104000040122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111524889 (or 111524875 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 221040000 and 40122, that added together give a palindrome (221080122).

The spelling of 22104000040122 in words is "twenty-two trillion, one hundred four billion, forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 66066 99099 198198 111524839 223049678 334574517 669149034 780673873 1003723551 1226773229 1449822907 1561347746 2007447102 2342021619 2453546458 2899645814 3680319687 4349468721 4684043238 7026064857 7360639374 8587412603 8698937442 10148760349 11040959061 13048406163 13494505519 14052129714 15948051977 17174825206 20297520698 22081918122 25762237809 26096812326 26989011038 30446281047 31896103954 40483516557 47844155931 51524475618 60892562094 77286713427 80967033114 91338843141 94461538633 95688311862 111636363839 121450549671 143532467793 154573426854 175428571747 182677686282 188923077266 223272727678 242901099342 283384615899 287064935586 334909091517 350857143494 526285715241 566769231798 669818183034 850153847697 1004727274551 1052571430482 1228000002229 1578857145723 1700307695394 2009454549102 2456000004458 3157714291446 3684000006687 7368000013374 11052000020061 22104000040122