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100112312021 is a prime number
BaseRepresentation
bin101110100111100101…
…0001010011011010101
3100120101222222101101012
41131033022022123111
53120012222441041
6113554014142005
710142606416541
oct1351712123325
9316358871335
10100112312021
1139503876857
121749b4b1905
139595b74267
144bb9d38a21
15290e0223eb
hex174f28a6d5

100112312021 has 2 divisors, whose sum is σ = 100112312022. Its totient is φ = 100112312020.

The previous prime is 100112312017. The next prime is 100112312033. The reversal of 100112312021 is 120213211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95333355121 + 4778956900 = 308761^2 + 69130^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112312021 - 22 = 100112312017 is a prime.

It is a super-2 number, since 2×1001123120212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100112311987 and 100112312005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112312821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056156010 + 50056156011.

It is an arithmetic number, because the mean of its divisors is an integer number (50056156011).

Almost surely, 2100112312021 is an apocalyptic number.

It is an amenable number.

100112312021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112312021 is an equidigital number, since it uses as much as digits as its factorization.

100112312021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100112312021 its reverse (120213211001), we get a palindrome (220325523022).

The spelling of 100112312021 in words is "one hundred billion, one hundred twelve million, three hundred twelve thousand, twenty-one".