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212201011101198 = 23719945763118803
BaseRepresentation
bin110000001111111011100101…
…111000110011111000001110
31000211100012220022120002221210
4300033323211320303320032
5210303200132320214243
62031151444305035250
762461005605442120
oct6017734570637016
91024305808502853
10212201011101198
1161682a41774679
121b971b89325b26
1391536145c3962
143a58825ac1210
15197ec7e0a9933
hexc0fee5e33e0e

212201011101198 has 128 divisors (see below), whose sum is σ = 488667808972800. Its totient is φ = 60175817982720.

The previous prime is 212201011101187. The next prime is 212201011101217. The reversal of 212201011101198 is 891101110102212.

It is a super-2 number, since 2×2122010111011982 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24105529065 + ... + 24105537867.

It is an arithmetic number, because the mean of its divisors is an integer number (3817717257600).

Almost surely, 2212201011101198 is an apocalyptic number.

212201011101198 is an abundant number, since it is smaller than the sum of its proper divisors (276466797871602).

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

212201011101198 is a wasteful number, since it uses less digits than its factorization.

212201011101198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782.

The product of its (nonzero) digits is 576, while the sum is 30.

The spelling of 212201011101198 in words is "two hundred twelve trillion, two hundred one billion, eleven million, one hundred one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 199 398 457 597 914 1194 1371 1393 2742 2786 3199 4179 6311 6398 8358 8803 9597 12622 17606 18933 19194 26409 37866 44177 52818 61621 88354 90943 123242 132531 181886 184863 265062 272829 369726 545658 636601 1255889 1273202 1751797 1909803 2511778 2884127 3503594 3767667 3819606 4022971 5255391 5768254 7535334 8045942 8652381 8791223 10510782 12068913 12262579 17304762 17582446 20188889 24137826 24525158 26373669 28160797 36787737 40377778 52747338 55555733 56321594 60566667 73575474 84482391 111111466 121133334 166667199 168964782 333334398 388890131 573941273 777780262 800571229 1147882546 1166670393 1601142458 1721823819 2333340786 2401713687 3443647638 4017588911 4803427374 5603998603 8035177822 11055590867 11207997206 12052766733 16811995809 22111181734 24105533466 25388969981 33166772601 33623991618 50777939962 66333545202 76166909943 77389136069 152333819886 154778272138 177722789867 232167408207 355445579734 464334816414 533168369601 1066336739202 5052405026219 10104810052438 15157215078657 30314430157314 35366835183533 70733670367066 106100505550599 212201011101198