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189457997101 is a prime number
BaseRepresentation
bin1011000001110010010…
…0111001110100101101
3200010000122122110011121
42300130210321310231
511101002221401401
6223011422220541
716454642255452
oct2603444716455
9603018573147
10189457997101
117339211140a
1230875124751
1314b34261539
149253d91829
154ddcc02ca1
hex2c1c939d2d

189457997101 has 2 divisors, whose sum is σ = 189457997102. Its totient is φ = 189457997100.

The previous prime is 189457997041. The next prime is 189457997137. The reversal of 189457997101 is 101799754981.

189457997101 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., 128916902500 + 60541094601 = 359050^2 + 246051^2 .

It is an emirp because it is prime and its reverse (101799754981) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 189457997101 - 211 = 189457995053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 189457997101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (189457997161) 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, 94728998550 + 94728998551.

It is an arithmetic number, because the mean of its divisors is an integer number (94728998551).

Almost surely, 2189457997101 is an apocalyptic number.

It is an amenable number.

189457997101 is a deficient number, since it is larger than the sum of its proper divisors (1).

189457997101 is an equidigital number, since it uses as much as digits as its factorization.

189457997101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 61.

The spelling of 189457997101 in words is "one hundred eighty-nine billion, four hundred fifty-seven million, nine hundred ninety-seven thousand, one hundred one".