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211313013749 is a prime number
BaseRepresentation
bin1100010011001100111…
…1001011001111110101
3202012102202201022212122
43010303033023033311
511430232112414444
6241024215125325
721160350660245
oct3046317131765
9665382638778
10211313013749
1181687761942
1234b54373845
1316c0804cb56
14a328791b25
15576b7434ee
hex31333cb3f5

211313013749 has 2 divisors, whose sum is σ = 211313013750. Its totient is φ = 211313013748.

The previous prime is 211313013713. The next prime is 211313013781. The reversal of 211313013749 is 947310313112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115791839524 + 95521174225 = 340282^2 + 309065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211313013749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211313033749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105656506874 + 105656506875.

It is an arithmetic number, because the mean of its divisors is an integer number (105656506875).

Almost surely, 2211313013749 is an apocalyptic number.

It is an amenable number.

211313013749 is a deficient number, since it is larger than the sum of its proper divisors (1).

211313013749 is an equidigital number, since it uses as much as digits as its factorization.

211313013749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 211313013749 in words is "two hundred eleven billion, three hundred thirteen million, thirteen thousand, seven hundred forty-nine".