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157122016201 is a prime number
BaseRepresentation
bin1001001001010100110…
…0111011001111001001
3120000120002210102102101
42102111030323033021
510033241214004301
6200103022033401
714231426046613
oct2222514731711
9500502712371
10157122016201
11606a9311357
122654ba18861
1311a7cc36c27
1478675cddb3
154148e9b701
hex249533b3c9

157122016201 has 2 divisors, whose sum is σ = 157122016202. Its totient is φ = 157122016200.

The previous prime is 157122016171. The next prime is 157122016217. The reversal of 157122016201 is 102610221751.

157122016201 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., 127199935801 + 29922080400 = 356651^2 + 172980^2 .

It is an emirp because it is prime and its reverse (102610221751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157122016201 - 25 = 157122016169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157122016201.

It is not a weakly prime, because it can be changed into another prime (157122116201) 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, 78561008100 + 78561008101.

It is an arithmetic number, because the mean of its divisors is an integer number (78561008101).

Almost surely, 2157122016201 is an apocalyptic number.

It is an amenable number.

157122016201 is a deficient number, since it is larger than the sum of its proper divisors (1).

157122016201 is an equidigital number, since it uses as much as digits as its factorization.

157122016201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 157122016201 its reverse (102610221751), we get a palindrome (259732237952).

The spelling of 157122016201 in words is "one hundred fifty-seven billion, one hundred twenty-two million, sixteen thousand, two hundred one".