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221102112210021 = 327372281293914149
BaseRepresentation
bin110010010001011101011000…
…110110110111110001100101
31001222212011012100122201101200
4302101131120312313301211
5212440014111211210041
62102124524053113113
764400046312503610
oct6221353066676145
91058764170581350
10221102112210021
11644a4974249a99
122096b0a2028799
13964aabbb224a3
143c85583a93177
151a865900511b6
hexc91758db7c65

221102112210021 has 96 divisors (see below), whose sum is σ = 375177120864000. Its totient is φ = 122824976901120.

The previous prime is 221102112210019. The next prime is 221102112210103. The reversal of 221102112210021 is 120012211201122.

221102112210021 is a `hidden beast` number, since 2 + 211 + 0 + 211 + 221 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 221102112210021 - 21 = 221102112210019 is a prime.

It is a super-2 number, since 2×2211021122100212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102112209976 and 221102112210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102112210011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15626688255 + ... + 15626702403.

It is an arithmetic number, because the mean of its divisors is an integer number (3908095009000).

Almost surely, 2221102112210021 is an apocalyptic number.

221102112210021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221102112210021 is a deficient number, since it is larger than the sum of its proper divisors (154075008653979).

221102112210021 is a wasteful number, since it uses less digits than its factorization.

221102112210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19419 (or 19416 counting only the distinct ones).

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

Adding to 221102112210021 its reverse (120012211201122), we get a palindrome (341114323411143).

The spelling of 221102112210021 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2281 2331 2939 6843 8817 14149 15967 20529 20573 26451 42447 47901 61719 84397 99043 108743 127341 143703 185157 253191 297129 326229 523513 590779 759573 761201 891387 978687 1570539 1772337 2283603 3664591 4711617 5317011 6703859 6850809 10993773 20111577 32273869 32981319 41583911 46927013 60334731 96821607 124751733 140781039 225917083 248042783 290464821 291087377 374255199 422343117 677751249 744128349 873262131 1194133153 1538604707 1736299481 2033253747 2232385047 2619786393 3582399459 4615814121 5208898443 8358932071 10747198377 10770232949 13847442363 15626695329 25076796213 32310698847 75230388639 94852900991 96932096541 284558702973 663970306937 853676108919 1991910920811 3509557336667 5975732762433 10528672010001 24566901356669 31586016030003 73700704070007 221102112210021