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221002022021193 = 3571011936665201
BaseRepresentation
bin110010010000000000001011…
…000001000110100001001001
31001222111120211220022022100000
4302100000023001012201021
5212431344120114134233
62102010532145033213
764356604062105120
oct6220001301064111
91058446756268300
10221002022021193
1164466481a13776
122095380a025809
13964152a725b9a
143c807aaa76ab7
151a83b82e4dd13
hexc9000b046849

221002022021193 has 96 divisors (see below), whose sum is σ = 384066642016512. Its totient is φ = 124388628480000.

The previous prime is 221002022021161. The next prime is 221002022021239. The reversal of 221002022021193 is 391120220200122.

221002022021193 is a `hidden beast` number, since 2 + 210 + 0 + 20 + 220 + 21 + 193 = 666.

It is not a de Polignac number, because 221002022021193 - 25 = 221002022021161 is a prime.

It is a super-2 number, since 2×2210020220211932 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221004022021193) 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, 29824993 + ... + 36490193.

It is an arithmetic number, because the mean of its divisors is an integer number (4000694187672).

Almost surely, 2221002022021193 is an apocalyptic number.

It is an amenable number.

221002022021193 is a deficient number, since it is larger than the sum of its proper divisors (163064619995319).

221002022021193 is a wasteful number, since it uses less digits than its factorization.

221002022021193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665517 (or 6665505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 221002022021193 in words is "two hundred twenty-one trillion, two billion, twenty-two million, twenty-one thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 81 101 189 193 243 303 567 579 707 909 1351 1701 1737 2121 2727 4053 5211 6363 8181 12159 15633 19089 19493 24543 36477 46899 57267 58479 109431 136451 171801 175437 328293 409353 526311 1228059 1578933 3684177 4736799 6665201 11052531 19995603 33157593 46656407 59986809 139969221 179960427 419907663 539881281 673185301 1259722989 1286383793 1619643843 2019555903 3779168967 3859151379 4712297107 6058667709 9004686551 11337506901 11577454137 14136891321 18176003127 27014059653 34732362411 42410673963 54528009381 81042178959 104197087233 127232021889 129924763093 163584028143 243126536877 312591261699 381696065667 389774289279 729379610631 909473341651 1145088197001 1169322867837 2188138831893 2728420024953 3507968603511 8185260074859 10523905810533 24555780224577 31571717431599 73667340673731 221002022021193