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22131330102 = 23272157181883
BaseRepresentation
bin10100100111001000…
…010100110000110110
32010010101000001111200
4110213020110300312
5330311110030402
614100023113330
71412302126200
oct244710246066
963111001450
1022131330102
119427616962
1243578a2846
132119114ccb
1410dd3a9770
15897e2121c
hex527214c36

22131330102 has 144 divisors (see below), whose sum is σ = 56509335792. Its totient is φ = 6241173120.

The previous prime is 22131330083. The next prime is 22131330103. The reversal of 22131330102 is 20103313122.

22131330102 is a `hidden beast` number, since 221 + 313 + 30 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131330103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25063353 + ... + 25064235.

It is an arithmetic number, because the mean of its divisors is an integer number (392425943).

Almost surely, 222131330102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254667896).

22131330102 is an abundant number, since it is smaller than the sum of its proper divisors (34378005690).

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

22131330102 is a wasteful number, since it uses less digits than its factorization.

22131330102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

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

Adding to 22131330102 its reverse (20103313122), we get a palindrome (42234643224).

The spelling of 22131330102 in words is "twenty-two billion, one hundred thirty-one million, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 181 294 314 362 441 471 543 882 883 942 1086 1099 1267 1413 1629 1766 2198 2534 2649 2826 3258 3297 3801 5298 6181 6594 7602 7693 7947 8869 9891 11403 12362 15386 15894 17738 18543 19782 22806 23079 26607 28417 37086 43267 46158 53214 55629 56834 69237 79821 85251 86534 111258 129801 138474 138631 159642 159823 170502 198919 255753 259602 277262 319646 389403 397838 415893 479469 511506 596757 778806 831786 958938 970417 1118761 1193514 1247679 1392433 1438407 1790271 1940834 2237522 2495358 2784866 2876814 2911251 3356283 3580542 4177299 5822502 6712566 6792919 7831327 8354598 8733753 10068849 12531897 13585838 15662654 17467506 20137698 20378757 23493981 25063794 25092211 40757514 46987962 50184422 61136271 70481943 75276633 122272542 140963886 150553266 175645477 225829899 351290954 451659798 526936431 1053872862 1229518339 1580809293 2459036678 3161618586 3688555017 7377110034 11065665051 22131330102