Search a number
-
+
101926143304057 is a prime number
BaseRepresentation
bin10111001011001110000111…
…100100001010000101111001
3111100220001012011202111010201
4113023032013210022011321
5101324424220141212212
61000440120202242201
730316630564115212
oct2713160744120571
9440801164674121
10101926143304057
112a5276a8760176
12b521b771b6361
1344b4795237467
141b2537479a409
15bbb4ed7c1b57
hex5cb38790a179

101926143304057 has 2 divisors, whose sum is σ = 101926143304058. Its totient is φ = 101926143304056.

The previous prime is 101926143304021. The next prime is 101926143304067. The reversal of 101926143304057 is 750403341629101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101912174664336 + 13968639721 = 10095156^2 + 118189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101926143304057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101926143303998 and 101926143304016.

It is not a weakly prime, because it can be changed into another prime (101926143304067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50963071652028 + 50963071652029.

It is an arithmetic number, because the mean of its divisors is an integer number (50963071652029).

Almost surely, 2101926143304057 is an apocalyptic number.

It is an amenable number.

101926143304057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101926143304057 is an equidigital number, since it uses as much as digits as its factorization.

101926143304057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 101926143304057 in words is "one hundred one trillion, nine hundred twenty-six billion, one hundred forty-three million, three hundred four thousand, fifty-seven".