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22125114204330 = 23531241904910909
BaseRepresentation
bin1010000011111011001111…
…00100101010000010101010
32220100010210020202110120110
411001331213210222002222
510344444213214014310
6115020045342435150
74442325645512034
oct501754744520252
986303706673513
1022125114204330
117060232193395
122593bb3b92ab6
13c4650a438c77
14566c0b362c54
152857d1ccdd20
hex141f6792a0aa

22125114204330 has 128 divisors (see below), whose sum is σ = 55051755264000. Its totient is φ = 5684865638400.

The previous prime is 22125114204283. The next prime is 22125114204331. The reversal of 22125114204330 is 3340241152122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22125114204331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028146916 + ... + 2028157824.

It is an arithmetic number, because the mean of its divisors is an integer number (430091838000).

Almost surely, 222125114204330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22125114204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525877632000).

22125114204330 is an abundant number, since it is smaller than the sum of its proper divisors (32926641059670).

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

22125114204330 is a wasteful number, since it uses less digits than its factorization.

22125114204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22125114204330 its reverse (3340241152122), we get a palindrome (25465355356452).

The spelling of 22125114204330 in words is "twenty-two trillion, one hundred twenty-five billion, one hundred fourteen million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 241 310 465 482 723 930 1205 1446 2410 3615 7230 7471 9049 10909 14942 18098 21818 22413 27147 32727 37355 44826 45245 54294 54545 65454 74710 90490 109090 112065 135735 163635 224130 271470 280519 327270 338179 561038 676358 841557 1014537 1402595 1683114 1690895 2029074 2180809 2629069 2805190 3381790 4207785 4361618 5072685 5258138 6542427 7887207 8415570 10145370 10904045 13084854 13145345 15774414 21808090 26290690 32712135 39436035 65424270 67605079 78872070 81501139 98715541 135210158 163002278 197431082 202815237 244503417 296146623 338025395 405630474 407505695 489006834 493577705 592293246 676050790 815011390 987155410 1014076185 1222517085 1480733115 2028152370 2445034170 2961466230 3060181771 6120363542 9180545313 15300908855 18361090626 23790445381 30601817710 45902726565 47580890762 71371336143 91805453130 118952226905 142742672286 237904453810 356856680715 713713361430 737503806811 1475007613622 2212511420433 3687519034055 4425022840866 7375038068110 11062557102165 22125114204330