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213341623151957 is a prime number
BaseRepresentation
bin110000100000100001110111…
…101010011110110101010101
31000222101021000112100210222122
4300200201313222132311111
5210430342121011330312
62033423442203505325
762636265206060036
oct6040416752366525
91028337015323878
10213341623151957
1161a82746512483
121bb17051b28245
13920704b1a91a1
143a97b0ab58a8d
15199e78a140b72
hexc20877a9ed55

213341623151957 has 2 divisors, whose sum is σ = 213341623151958. Its totient is φ = 213341623151956.

The previous prime is 213341623151843. The next prime is 213341623152017. The reversal of 213341623151957 is 759151326143312.

213341623151957 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., 203220819846916 + 10120803305041 = 14255554^2 + 3181321^2 .

It is a cyclic number.

It is not a de Polignac number, because 213341623151957 - 210 = 213341623150933 is a prime.

It is a super-2 number, since 2×2133416231519572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213341623151899 and 213341623151908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213341623951957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106670811575978 + 106670811575979.

It is an arithmetic number, because the mean of its divisors is an integer number (106670811575979).

Almost surely, 2213341623151957 is an apocalyptic number.

It is an amenable number.

213341623151957 is a deficient number, since it is larger than the sum of its proper divisors (1).

213341623151957 is an equidigital number, since it uses as much as digits as its factorization.

213341623151957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4082400, while the sum is 53.

The spelling of 213341623151957 in words is "two hundred thirteen trillion, three hundred forty-one billion, six hundred twenty-three million, one hundred fifty-one thousand, nine hundred fifty-seven".