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11122022121936 = 24311172293540377
BaseRepresentation
bin1010000111011000110000…
…1011011000000111010000
31110101020212211210201121220
42201312030023120013100
52424210400130400221
635353215245045040
72225353035125055
oct241661413300720
943336784721556
1011122022121936
1135a89065a0190
1212b7632856780
13628a5752c97b
142a644729502c
15144498e420c6
hexa1d8c2d81d0

11122022121936 has 160 divisors (see below), whose sum is σ = 33202173103488. Its totient is φ = 3170666987520.

The previous prime is 11122022121823. The next prime is 11122022121937. The reversal of 11122022121936 is 63912122022111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11122022121897 and 11122022121906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122022121937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20311780 + ... + 20852156.

Almost surely, 211122022121936 is an apocalyptic number.

11122022121936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122022121936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601086551744).

11122022121936 is an abundant number, since it is smaller than the sum of its proper divisors (22080150981552).

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

11122022121936 is a wasteful number, since it uses less digits than its factorization.

11122022121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542709 (or 542703 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11122022121936 in words is "eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2293 2992 4488 4586 6879 8976 9172 13758 18344 25223 27516 36688 38981 50446 55032 75669 77962 100892 110064 116943 151338 155924 201784 233886 302676 311848 403568 428791 467772 540377 605352 623696 857582 935544 1080754 1210704 1286373 1621131 1715164 1871088 2161508 2572746 3242262 3430328 4323016 5145492 5944147 6484524 6860656 8646032 9186409 10290984 11888294 12969048 17832441 18372818 20581968 23776588 25938096 27559227 35664882 36745636 47553176 55118454 71329764 73491272 95106352 101050499 110236908 142659528 146982544 202100998 220473816 285319056 303151497 404201996 440947632 606302994 808403992 1212605988 1239084461 1616807984 2425211976 2478168922 3717253383 4850423952 4956337844 7434506766 9912675688 13629929071 14869013532 19825351376 21064435837 27259858142 29738027064 40889787213 42128871674 54519716284 59476054128 63193307511 81779574426 84257743348 109039432568 126386615022 163559148852 168515486696 218078865136 231708794207 252773230044 327118297704 337030973392 463417588414 505546460088 654236595408 695126382621 926835176828 1011092920176 1390252765242 1853670353656 2780505530484 3707340707312 5561011060968 11122022121936