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221112222020001 = 32135413493249633
BaseRepresentation
bin110010010001100110110011…
…011100101111000110100001
31001222220010021221001021111100
4302101212303130233012201
5212440200312314120001
62102133315201305013
764400554662456354
oct6221466334570641
91058803257037440
10221112222020001
11644a9191a45954
1220971043935169
13964ba404a9680
143c85c6263c29b
151a869828a0586
hexc919b372f1a1

221112222020001 has 24 divisors (see below), whose sum is σ = 344588116896296. Its totient is φ = 135817545692160.

The previous prime is 221112222019993. The next prime is 221112222020009. The reversal of 221112222020001 is 100020222211122.

It is a happy number.

221112222020001 is a `hidden beast` number, since 221 + 1 + 1 + 22 + 220 + 200 + 0 + 1 = 666.

221112222020001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221112222019993) and next prime (221112222020009).

It can be written as a sum of positive squares in 4 ways, for example, as 2200193723025 + 218912028296976 = 1483305^2 + 14795676^2 .

It is not a de Polignac number, because 221112222020001 - 23 = 221112222019993 is a prime.

It is a super-2 number, since 2×2211122220200012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221112222020009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746561520 + ... + 1746688113.

Almost surely, 2221112222020001 is an apocalyptic number.

It is an amenable number.

221112222020001 is a deficient number, since it is larger than the sum of its proper divisors (123475894876295).

221112222020001 is a wasteful number, since it uses less digits than its factorization.

221112222020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493250193 (or 3493250190 counting only the distinct ones).

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

Adding to 221112222020001 its reverse (100020222211122), we get a palindrome (321132444231123).

The spelling of 221112222020001 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twenty-two million, twenty thousand, one".

Divisors: 1 3 9 13 39 117 541 1623 4869 7033 21099 63297 3493249633 10479748899 31439246697 45412245229 136236735687 408710207061 1889848051453 5669544154359 17008632463077 24568024668889 73704074006667 221112222020001