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20212122121 = 97210121269
BaseRepresentation
bin10010110100101111…
…001000001000001001
31221011121200012002121
4102310233020020021
5312343300401441
613141343531241
71313606126512
oct226457101011
957147605077
1020212122121
118632241564
123b00bb9b21
131ba1617699
14d9a541a09
157d46bbdd1
hex4b4bc8209

20212122121 has 12 divisors (see below), whose sum is σ = 20625816780. Its totient is φ = 19804761600.

The previous prime is 20212122107. The next prime is 20212122143. The reversal of 20212122121 is 12122121202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1594884096 + 18617238025 = 39936^2 + 136445^2 .

It is not a de Polignac number, because 20212122121 - 217 = 20211991049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20212122095 and 20212122104.

It is not an unprimeable number, because it can be changed into a prime (20212122101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939675 + ... + 960943.

It is an arithmetic number, because the mean of its divisors is an integer number (1718818065).

Almost surely, 220212122121 is an apocalyptic number.

It is an amenable number.

20212122121 is a deficient number, since it is larger than the sum of its proper divisors (413694659).

20212122121 is an equidigital number, since it uses as much as digits as its factorization.

20212122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21564 (or 21467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20212122121 its reverse (12122121202), we get a palindrome (32334243323).

It can be divided in two parts, 202 and 12122121, that multiplied together give a palindrome (2448668442).

The spelling of 20212122121 in words is "twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 97 101 9409 9797 21269 950309 2063093 2148169 200120021 208372393 20212122121