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210031114001 is a prime number
BaseRepresentation
bin1100001110011011010…
…1000111011100010001
3202002010102121002000012
43003212311013130101
511420120431122001
6240253103404305
721113524004222
oct3034665073421
9662112532005
10210031114001
118108a0a7665
1234856bb3695
1316a625b16a7
14a246423249
1556e3e2b2bb
hex30e6d47711

210031114001 has 2 divisors, whose sum is σ = 210031114002. Its totient is φ = 210031114000.

The previous prime is 210031113991. The next prime is 210031114009. The reversal of 210031114001 is 100411130012.

210031114001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195523152400 + 14507961601 = 442180^2 + 120449^2 .

It is a cyclic number.

It is not a de Polignac number, because 210031114001 - 26 = 210031113937 is a prime.

It is a super-2 number, since 2×2100311140012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210031114009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105015557000 + 105015557001.

It is an arithmetic number, because the mean of its divisors is an integer number (105015557001).

Almost surely, 2210031114001 is an apocalyptic number.

It is an amenable number.

210031114001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210031114001 is an equidigital number, since it uses as much as digits as its factorization.

210031114001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 210031114001 its reverse (100411130012), we get a palindrome (310442244013).

The spelling of 210031114001 in words is "two hundred ten billion, thirty-one million, one hundred fourteen thousand, one".