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213122301010331 = 4147197561411049
BaseRepresentation
bin110000011101010101100111…
…000010111010000110011011
31000221121021220121001122010012
4300131111213002322012123
5210413243433024312311
62033135011121112135
762614402203451436
oct6035254702720633
91027537817048105
10213122301010331
11619a8729919299
121baa064348864b
1391bc467a6b61b
143a8b26280481d
151998c006ec78b
hexc1d5670ba19b

213122301010331 has 16 divisors (see below), whose sum is σ = 224097326006400. Its totient is φ = 202467280350720.

The previous prime is 213122301010321. The next prime is 213122301010351. The reversal of 213122301010331 is 133010103221312.

213122301010331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213122301010331 is a prime.

It is a super-2 number, since 2×2131223010103312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213122301010297 and 213122301010306.

It is not an unprimeable number, because it can be changed into a prime (213122301010301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280325906 + ... + 281085143.

It is an arithmetic number, because the mean of its divisors is an integer number (14006082875400).

Almost surely, 2213122301010331 is an apocalyptic number.

213122301010331 is a deficient number, since it is larger than the sum of its proper divisors (10975024996069).

213122301010331 is a wasteful number, since it uses less digits than its factorization.

213122301010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561411334.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213122301010331 its reverse (133010103221312), we get a palindrome (346132404231643).

The spelling of 213122301010331 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred one million, ten thousand, three hundred thirty-one".

Divisors: 1 41 47 197 1927 8077 9259 379619 561411049 23017853009 26386319303 110597976653 1081839091423 4534517042773 5198104902691 213122301010331