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221200001121021 = 3131910764112593457
BaseRepresentation
bin110010010010111000100011…
…011111011011101011111101
31002000012111212101220121221220
4302102320203133123223331
5212443120100241333041
62102241513324143553
764410113143511646
oct6222704337335375
91060174771817856
10221200001121021
1164532436a6273a
1220986060997bb9
1396570bc160930
143c8a1cc5bc6cd
151a88dbdc82d66
hexc92e237dbafd

221200001121021 has 128 divisors (see below), whose sum is σ = 338354798745600. Its totient is φ = 127415998218240.

The previous prime is 221200001120993. The next prime is 221200001121067. The reversal of 221200001121021 is 120121100002122.

It is not a de Polignac number, because 221200001121021 - 27 = 221200001120893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200001121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63986113725 + ... + 63986117181.

It is an arithmetic number, because the mean of its divisors is an integer number (2643396865200).

Almost surely, 2221200001121021 is an apocalyptic number.

It is an amenable number.

221200001121021 is a deficient number, since it is larger than the sum of its proper divisors (117154797624579).

221200001121021 is a wasteful number, since it uses less digits than its factorization.

221200001121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221200001121021 its reverse (120121100002122), we get a palindrome (341321101123143).

The spelling of 221200001121021 in words is "two hundred twenty-one trillion, two hundred billion, one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 13 19 39 57 107 247 321 641 741 1259 1391 1923 2033 3457 3777 4173 6099 8333 10371 12179 16367 23921 24999 26429 36537 44941 49101 65683 68587 71763 79287 134713 134823 158327 197049 205761 310973 369899 404139 474981 807019 853879 891631 932919 1109697 1303153 1751269 2215937 2421057 2559547 2561637 2674893 3909459 4352363 4808687 5253807 6647811 7028081 7678641 10491247 13057089 14426061 15333361 16940989 21084243 28807181 31473741 33274111 42102803 46000083 50822967 56580719 82694897 86351033 86421543 91365053 99822333 126308409 169742157 199333693 237105259 248084691 259053099 274095159 465702841 547336439 598001079 711315777 1075033661 1122563429 1397108523 1640669627 1642009317 2789864683 3082368367 3225100983 3367690287 4504999921 4922008881 6054136933 8369594049 8848353979 9247105101 13514999763 18162410799 21328705151 26545061937 36268240879 53007428977 58564998973 63986115453 108804722637 115028601727 159022286931 175694996919 298515521081 345085805181 689096576701 895546563243 2067289730103 3880701774053 5671794900539 11642105322159 17015384701617 73733333707007 221200001121021