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213007831 is a prime number
BaseRepresentation
bin11001011001000…
…11110111010111
3112211210220210221
430230203313113
5414012222311
633045255211
75164352041
oct1454436727
9484726727
10213007831
11aa267a33
125b404507
133518cc4a
142040aa91
1513a78671
hexcb23dd7

213007831 has 2 divisors, whose sum is σ = 213007832. Its totient is φ = 213007830.

The previous prime is 213007819. The next prime is 213007843. The reversal of 213007831 is 138700312.

It is a balanced prime because it is at equal distance from previous prime (213007819) and next prime (213007843).

It is a cyclic number.

It is not a de Polignac number, because 213007831 - 25 = 213007799 is a prime.

It is a super-2 number, since 2×2130078312 = 90744672134649122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213007796 and 213007805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213007801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106503915 + 106503916.

It is an arithmetic number, because the mean of its divisors is an integer number (106503916).

Almost surely, 2213007831 is an apocalyptic number.

213007831 is a deficient number, since it is larger than the sum of its proper divisors (1).

213007831 is an equidigital number, since it uses as much as digits as its factorization.

213007831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 213007831 is about 14594.7878024999. The cubic root of 213007831 is about 597.2165807439.

The spelling of 213007831 in words is "two hundred thirteen million, seven thousand, eight hundred thirty-one".