Search a number
-
+
10037706053 is a prime number
BaseRepresentation
bin10010101100100101…
…10011110101000101
3221220112201022002212
421112102303311011
5131024123043203
64340010513205
7503513044064
oct112622636505
927815638085
1010037706053
114291029141
121b41735805
13c3c75cb4b
146b317a1db
153db35a1d8
hex2564b3d45

10037706053 has 2 divisors, whose sum is σ = 10037706054. Its totient is φ = 10037706052.

The previous prime is 10037706031. The next prime is 10037706181. The reversal of 10037706053 is 35060773001.

10037706053 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., 5666777284 + 4370928769 = 75278^2 + 66113^2 .

It is a cyclic number.

It is not a de Polignac number, because 10037706053 - 222 = 10033511749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10037706013) 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, 5018853026 + 5018853027.

It is an arithmetic number, because the mean of its divisors is an integer number (5018853027).

Almost surely, 210037706053 is an apocalyptic number.

It is an amenable number.

10037706053 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037706053 is an equidigital number, since it uses as much as digits as its factorization.

10037706053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 32.

The spelling of 10037706053 in words is "ten billion, thirty-seven million, seven hundred six thousand, fifty-three".