Search a number
-
+
10135207037 is a prime number
BaseRepresentation
bin10010111000001101…
…01111110001111101
3222011100011212022102
421130012233301331
5131224103111122
64353412354445
7506105560364
oct113406576175
928140155272
1010135207037
11433107306a
121b6a315a25
13c56a0a037
146c20ba7db
153e4bb9492
hex25c1afc7d

10135207037 has 2 divisors, whose sum is σ = 10135207038. Its totient is φ = 10135207036.

The previous prime is 10135207021. The next prime is 10135207073. The reversal of 10135207037 is 73070253101.

Together with next prime (10135207073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6519109081 + 3616097956 = 80741^2 + 60134^2 .

It is an emirp because it is prime and its reverse (73070253101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10135207037 - 24 = 10135207021 is a prime.

It is a super-3 number, since 3×101352070373 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10135207007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067603518 + 5067603519.

It is an arithmetic number, because the mean of its divisors is an integer number (5067603519).

Almost surely, 210135207037 is an apocalyptic number.

It is an amenable number.

10135207037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135207037 is an equidigital number, since it uses as much as digits as its factorization.

10135207037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 29.

The spelling of 10135207037 in words is "ten billion, one hundred thirty-five million, two hundred seven thousand, thirty-seven".