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221200120100091 = 311294323347948163
BaseRepresentation
bin110010010010111000101010…
…100101010011010011111011
31002000012112011200210101120010
4302102320222211103103323
5212443120321221200331
62102241533214233003
764410116120021466
oct6222705245232373
91060175150711503
10221200120100091
1164532498137450
12209860947b5763
13965710a9bac52
143c8a2003102dd
151a88dc9435e46
hexc92e2a9534fb

221200120100091 has 128 divisors (see below), whose sum is σ = 342763691212800. Its totient is φ = 125619688535040.

The previous prime is 221200120099993. The next prime is 221200120100107. The reversal of 221200120100091 is 190001021002122.

It is not a de Polignac number, because 221200120100091 - 211 = 221200120098043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221200120100291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4592715576 + ... + 4592763738.

It is an arithmetic number, because the mean of its divisors is an integer number (2677841337600).

Almost surely, 2221200120100091 is an apocalyptic number.

221200120100091 is a deficient number, since it is larger than the sum of its proper divisors (121563571112709).

221200120100091 is a wasteful number, since it uses less digits than its factorization.

221200120100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48961.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 221200120100091 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, one hundred thousand, ninety-one".

Divisors: 1 3 11 29 33 43 87 129 233 319 473 479 699 957 1247 1419 1437 2563 3741 5269 6757 7689 10019 13717 13891 15807 20271 20597 30057 41151 41673 48163 61791 74327 110209 111607 144489 152801 222981 226567 290551 330627 334821 458403 529793 597313 679701 871653 1227677 1396727 1589379 1791939 2071009 3196061 3236603 3683031 4190181 4799101 6213027 6570443 9588183 9709809 11221979 14397303 15363997 19711329 22781099 23070077 33665937 35602633 46091991 52790111 60059261 68343297 69210231 106807899 123441769 139173929 158370333 180177783 253770847 325437391 370325307 417521787 482545097 660651871 669032233 761312541 976312173 992013311 1447635291 1530913219 1981955613 2007096699 2976039933 3579811301 4592739657 5307996067 5375327941 7359354563 10739433903 10912146421 13993807813 15923988201 16125983823 22078063689 28768386019 32736439263 41981423439 59128607351 86305158057 153931885943 155884510289 177385822053 231139101463 316452246209 461795657829 467653530867 693417304389 949356738627 1714729613179 2542530116093 5144188839537 6703033942427 7627590348279 20109101827281 73733373366697 221200120100091