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222221201121 = 32187731315253
BaseRepresentation
bin1100111011110101101…
…0100110111011100001
3210020120222101122212100
43032331122212323201
512120102111413441
6250030443321013
722024564020633
oct3167532467341
9706528348770
10222221201121
1186275090527
1237099520169
1317c55c3c4aa
14aa813a2a53
155ba91e8cb6
hex33bd6a6ee1

222221201121 has 12 divisors (see below), whose sum is σ = 321003521748. Its totient is φ = 148139463264.

The previous prime is 222221201101. The next prime is 222221201141. The reversal of 222221201121 is 121102122222.

It is a happy number.

222221201121 is a `hidden beast` number, since 222 + 221 + 201 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (222221201101) and next prime (222221201141).

It can be written as a sum of positive squares in 2 ways, for example, as 150431501025 + 71789700096 = 387855^2 + 267936^2 .

It is not a de Polignac number, because 222221201121 - 25 = 222221201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222221201094 and 222221201103.

It is not an unprimeable number, because it can be changed into a prime (222221201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488670 + ... + 826583.

It is an arithmetic number, because the mean of its divisors is an integer number (26750293479).

Almost surely, 2222221201121 is an apocalyptic number.

It is an amenable number.

222221201121 is a deficient number, since it is larger than the sum of its proper divisors (98782320627).

222221201121 is a wasteful number, since it uses less digits than its factorization.

222221201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334032 (or 1334029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222221201121 its reverse (121102122222), we get a palindrome (343323323343).

The spelling of 222221201121 in words is "two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 18773 56319 168957 1315253 3945759 11837277 24691244569 74073733707 222221201121