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212022100122021 = 32719177127903193
BaseRepresentation
bin110000001101010100111101…
…111101100101100110100101
31000210201010002200222200102200
4300031110331331211212211
5210242232230112401041
62030533335205525113
762442043202266620
oct6015247575454645
91023633080880380
10212022100122021
1161614082128a02
121b943378413799
13913c7a1487937
143a4dcd27a6db7
15197a2ac2b91b6
hexc0d53df659a5

212022100122021 has 24 divisors (see below), whose sum is σ = 368426038643520. Its totient is φ = 114778881268416.

The previous prime is 212022100122017. The next prime is 212022100122023. The reversal of 212022100122021 is 120221001220212.

It is a happy number.

212022100122021 is a `hidden beast` number, since 212 + 0 + 2 + 210 + 0 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 212022100122021 - 22 = 212022100122017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212022100121985 and 212022100122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022100122023) 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, 88563950400 + ... + 88563952793.

It is an arithmetic number, because the mean of its divisors is an integer number (15351084943480).

Almost surely, 2212022100122021 is an apocalyptic number.

212022100122021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212022100122021 is a deficient number, since it is larger than the sum of its proper divisors (156403938521499).

212022100122021 is a wasteful number, since it uses less digits than its factorization.

212022100122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177127903225 (or 177127903222 counting only the distinct ones).

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

Adding to 212022100122021 its reverse (120221001220212), we get a palindrome (332243101342233).

It can be divided in two parts, 2 and 12022100122021, that multiplied together give a palindrome (24044200244042).

The spelling of 212022100122021 in words is "two hundred twelve trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 177127903193 531383709579 1239895322351 1594151128737 3365430160667 3719685967053 10096290482001 11159057901159 23558011124669 30288871446003 70674033374007 212022100122021