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22100102323230 = 23519372699388253
BaseRepresentation
bin1010000011001100101001…
…01111111001110000011110
32220020202020010111020221210
411001212110233321300132
510344042002143320410
6115000351415205250
74440452065154631
oct501462457716036
986222203436853
1022100102323230
117050667681978
12258b193676826
13c44052602919
145659175a5c18
15284d1b061220
hex141994bf9c1e

22100102323230 has 128 divisors (see below), whose sum is σ = 57362198976000. Its totient is φ = 5430260196864.

The previous prime is 22100102323223. The next prime is 22100102323283. The reversal of 22100102323230 is 3232320100122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22100102323197 and 22100102323206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56727784 + ... + 57116036.

It is an arithmetic number, because the mean of its divisors is an integer number (448142179500).

Almost surely, 222100102323230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100102323230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28681099488000).

22100102323230 is an abundant number, since it is smaller than the sum of its proper divisors (35262096652770).

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

22100102323230 is a wasteful number, since it uses less digits than its factorization.

22100102323230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391018.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22100102323230 its reverse (3232320100122), we get a palindrome (25332422423352).

The spelling of 22100102323230 in words is "twenty-two trillion, one hundred billion, one hundred two million, three hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 2699 3515 4218 5398 7030 8097 10545 13495 16194 21090 26990 40485 51281 80970 99863 102562 153843 199726 256405 299589 307686 388253 499315 512810 599178 769215 776506 998630 1164759 1497945 1538430 1897397 1941265 2329518 2995890 3794794 3882530 5692191 5823795 7376807 9486985 11384382 11647590 14365361 14753614 18973970 22130421 28460955 28730722 36884035 43096083 44260842 56921910 71826805 73768070 86192166 110652105 143653610 215480415 221304210 272941859 430960830 545883718 818825577 1047894847 1364709295 1637651154 2095789694 2729418590 3143684541 4094127885 5239474235 6287369082 8188255770 10478948470 15718422705 19910002093 31436845410 38772109339 39820004186 59730006279 77544218678 99550010465 116316328017 119460012558 193860546695 199100020930 232632656034 298650031395 387721093390 581581640085 597300062790 736670077441 1163163280170 1473340154882 2210010232323 3683350387205 4420020464646 7366700774410 11050051161615 22100102323230