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22104570411 = 347114382421
BaseRepresentation
bin10100100101100010…
…001111101000101011
32010001111122112010000
4110211202033220223
5330232232223121
614053225354043
71411525514460
oct244542175053
963044575100
1022104570411
1194134a9a10
12434a938923
132113705b81
1410d9a01667
158958d7526
hex52588fa2b

22104570411 has 80 divisors (see below), whose sum is σ = 42126213888. Its totient is φ = 11215713600.

The previous prime is 22104570409. The next prime is 22104570421. The reversal of 22104570411 is 11407540122.

It is not a de Polignac number, because 22104570411 - 21 = 22104570409 is a prime.

It is a super-2 number, since 2×221045704112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22104570401) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 226981 + ... + 309401.

Almost surely, 222104570411 is an apocalyptic number.

22104570411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22104570411 is a deficient number, since it is larger than the sum of its proper divisors (20021643477).

22104570411 is a wasteful number, since it uses less digits than its factorization.

22104570411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82494 (or 82485 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 22104570411 in words is "twenty-two billion, one hundred four million, five hundred seventy thousand, four hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 81 99 129 189 231 297 301 387 473 567 693 891 903 1161 1419 2079 2709 3311 3483 4257 6237 8127 9933 12771 24381 29799 38313 82421 89397 247263 268191 576947 741789 906631 1730841 2225367 2719893 3544103 5192523 6346417 6676101 8159679 10632309 15577569 19039251 24479037 24808721 31896927 38985133 46732707 57117753 73437111 74426163 95690781 116955399 171353259 223278489 272895931 287072343 350866197 514059777 669835467 818687793 1052598591 2009506401 2456063379 3157795773 7368190137 22104570411