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22323203312130 = 23257256791379869
BaseRepresentation
bin1010001001101100001101…
…00110101000101000000010
32221001002002102100202202200
411010312012212220220002
510411220410021442010
6115251045451454030
74462540534242540
oct504660646505002
987032072322680
1022323203312130
117127243339a36
122606477757316
13c5c0b88ac8a6
1457263d742d90
1528aa275e2cc0
hex144d869a8a02

22323203312130 has 96 divisors (see below), whose sum is σ = 66334435315200. Its totient is φ = 5102244072576.

The previous prime is 22323203312099. The next prime is 22323203312143. The reversal of 22323203312130 is 3121330232322.

22323203312130 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 320 + 331 + 2 + 1 + 3 + 0 = 666.

It is a super-3 number, since 3×223232033121303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22323203312094 and 22323203312103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15487836 + ... + 16867704.

It is an arithmetic number, because the mean of its divisors is an integer number (690983701200).

Almost surely, 222323203312130 is an apocalyptic number.

22323203312130 is an abundant number, since it is smaller than the sum of its proper divisors (44011232003070).

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

22323203312130 is a wasteful number, since it uses less digits than its factorization.

22323203312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405568 (or 1405565 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22323203312130 its reverse (3121330232322), we get a palindrome (25444533544452).

The spelling of 22323203312130 in words is "twenty-two trillion, three hundred twenty-three billion, two hundred three million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 25679 51358 77037 128395 154074 179753 231111 256790 359506 385185 462222 539259 770370 898765 1078518 1155555 1379869 1617777 1797530 2311110 2696295 2759738 3235554 4139607 5392590 6899345 8088885 8279214 9659083 12418821 13798690 16177770 19318166 20698035 24837642 28977249 41396070 48295415 57954498 62094105 86931747 96590830 124188210 144886245 173863494 289772490 434658735 869317470 35433656051 70867312102 106300968153 177168280255 212601936306 248035592357 318902904459 354336560510 496071184714 531504840765 637805808918 744106777071 1063009681530 1240177961785 1488213554142 1594514522295 2232320331213 2480355923570 3189029044590 3720533885355 4464640662426 7441067770710 11161601656065 22323203312130