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2140553137 is a prime number
BaseRepresentation
bin111111110010110…
…0011111110110001
312112011211100212211
41333211203332301
513340440200022
6552223252121
7104021254462
oct17745437661
95464740784
102140553137
119a9317288
124b8a4a041
132816193b8
14164404d69
15c7dc7e77
hex7f963fb1

2140553137 has 2 divisors, whose sum is σ = 2140553138. Its totient is φ = 2140553136.

The previous prime is 2140553117. The next prime is 2140553141. The reversal of 2140553137 is 7313550412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607127921 + 533425216 = 40089^2 + 23096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2140553137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2140553099 and 2140553108.

It is not a weakly prime, because it can be changed into another prime (2140553117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070276568 + 1070276569.

It is an arithmetic number, because the mean of its divisors is an integer number (1070276569).

Almost surely, 22140553137 is an apocalyptic number.

It is an amenable number.

2140553137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140553137 is an equidigital number, since it uses as much as digits as its factorization.

2140553137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 2140553137 is about 46266.1121880799. The cubic root of 2140553137 is about 1288.7697617673.

The spelling of 2140553137 in words is "two billion, one hundred forty million, five hundred fifty-three thousand, one hundred thirty-seven".