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22122132110442 = 23271383162717773
BaseRepresentation
bin1010000011110101101011…
…10100110111110001101010
32220022212002102102101210200
411001322311310313301222
510344422111310013232
6115014433414053030
74442162025234540
oct501726564676152
986285072371720
1022122132110442
117059a41943091
12259350134a176
13c46153683a80
14566a0729bd90
152856aa0c577c
hex141eb5d37c6a

22122132110442 has 96 divisors (see below), whose sum is σ = 59703103893888. Its totient is φ = 5764114355328.

The previous prime is 22122132110423. The next prime is 22122132110471. The reversal of 22122132110442 is 24401123122122.

22122132110442 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 1 + 3 + 211 + 0 + 442 = 666.

It is a super-2 number, since 2×221221321104422 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81222933 + ... + 81494840.

It is an arithmetic number, because the mean of its divisors is an integer number (621907332228).

Almost surely, 222122132110442 is an apocalyptic number.

22122132110442 is an abundant number, since it is smaller than the sum of its proper divisors (37580971783446).

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

22122132110442 is a wasteful number, since it uses less digits than its factorization.

22122132110442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162717884 (or 162717881 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22122132110442 its reverse (24401123122122), we get a palindrome (46523255232564).

The spelling of 22122132110442 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred thirty-two million, one hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 83 91 117 126 166 182 234 249 273 498 546 581 747 819 1079 1162 1494 1638 1743 2158 3237 3486 5229 6474 7553 9711 10458 15106 19422 22659 45318 67977 135954 162717773 325435546 488153319 976306638 1139024411 1464459957 2115331049 2278048822 2928919914 3417073233 4230662098 6345993147 6834146466 10251219699 12691986294 13505575159 14807317343 19037979441 20502439398 27011150318 29614634686 38075958882 40516725477 44421952029 81033450954 88843904058 94539026113 121550176431 133265856087 175572477067 189078052226 243100352862 266531712174 283617078339 351144954134 526717431201 567234156678 850851235017 1053434862402 1229007339469 1580152293603 1701702470034 2458014678938 3160304587206 3687022018407 7374044036814 11061066055221 22122132110442