Search a number
-
+
10201020157 is a prime number
BaseRepresentation
bin10011000000000011…
…10011011011111101
3222022221000111221101
421200001303123331
5131342430121112
64404123133101
7510535145356
oct114001633375
928287014841
1010201020157
114365234479
121b88374191
13c67540c03
146cab2cd2d
153ea869757
hex2600736fd

10201020157 has 2 divisors, whose sum is σ = 10201020158. Its totient is φ = 10201020156.

The previous prime is 10201020149. The next prime is 10201020197. The reversal of 10201020157 is 75102010201.

10201020157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9648347076 + 552673081 = 98226^2 + 23509^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201020157 - 23 = 10201020149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201020197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100510078 + 5100510079.

It is an arithmetic number, because the mean of its divisors is an integer number (5100510079).

Almost surely, 210201020157 is an apocalyptic number.

It is an amenable number.

10201020157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201020157 is an equidigital number, since it uses as much as digits as its factorization.

10201020157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 10201020157 its reverse (75102010201), we get a palindrome (85303030358).

The spelling of 10201020157 in words is "ten billion, two hundred one million, twenty thousand, one hundred fifty-seven".