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122210210211021 = 3235724138010509
BaseRepresentation
bin11011110010011001001000…
…001010101110010011001101
3121000201011220200020000211200
4123302121020022232103031
5112004243002303223041
61111530332344140113
734512252636044262
oct3362311012562315
9530634820200750
10122210210211021
1135a38071717919
12118591a8167639
1353264b13bb59a
142227011a43269
15e1de7c13a1b6
hex6f26482ae4cd

122210210211021 has 12 divisors (see below), whose sum is σ = 176526357974460. Its totient is φ = 81473243267520.

The previous prime is 122210210210887. The next prime is 122210210211041. The reversal of 122210210211021 is 120112012012221.

122210210211021 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 210 + 211 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68650338802500 + 53559871408521 = 8285550^2 + 7318461^2 .

It is not a de Polignac number, because 122210210211021 - 215 = 122210210178253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210210210985 and 122210210211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210210211041) 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, 15790086 + ... + 22220423.

It is an arithmetic number, because the mean of its divisors is an integer number (14710529831205).

Almost surely, 2122210210211021 is an apocalyptic number.

It is an amenable number.

122210210211021 is a deficient number, since it is larger than the sum of its proper divisors (54316147763439).

122210210211021 is a wasteful number, since it uses less digits than its factorization.

122210210211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38367756 (or 38367753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122210210211021 its reverse (120112012012221), we get a palindrome (242322222223242).

The spelling of 122210210211021 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred ten million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 357241 1071723 3215169 38010509 114031527 342094581 13578912245669 40736736737007 122210210211021