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22000111128 = 23321721057291
BaseRepresentation
bin10100011111010011…
…110000111000011000
32002210020002102220200
4110133103300320120
5330024012024003
614035014422200
71406116600452
oct243723607030
962706072820
1022000111128
11936a542126
12431b961960
1320c7b90748
1410c9bad2d2
1588b6516a3
hex51f4f0e18

22000111128 has 72 divisors (see below), whose sum is σ = 63294785580. Its totient is φ = 6901989120.

The previous prime is 22000111079. The next prime is 22000111129. The reversal of 22000111128 is 82111100022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 22000111128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000111129) 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 17 ways as a sum of consecutive naturals, for example, 507838 + ... + 549453.

Almost surely, 222000111128 is an apocalyptic number.

It is an amenable number.

22000111128 is an abundant number, since it is smaller than the sum of its proper divisors (41294674452).

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

22000111128 is a wasteful number, since it uses less digits than its factorization.

22000111128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057337 (or 1057313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 22000111128 in words is "twenty-two billion, one hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 1057291 2114582 3171873 4229164 6343746 8458328 9515619 12687492 17973947 19031238 25374984 35947894 38062476 53921841 71895788 76124952 107843682 143791576 161765523 215687364 305557099 323531046 431374728 611114198 647062092 916671297 1222228396 1294124184 1833342594 2444456792 2750013891 3666685188 5500027782 7333370376 11000055564 22000111128