Search a number
-
+
37530053131 is a prime number
BaseRepresentation
bin100010111100111101…
…110010101000001011
310120212112102020100211
4202330331302220023
51103330143200011
625124023141551
72466013121344
oct427475625013
9116775366324
1037530053131
1114a0981143a
1273348a48b7
13370144633c
141b605410cb
15e99c45b21
hex8bcf72a0b

37530053131 has 2 divisors, whose sum is σ = 37530053132. Its totient is φ = 37530053130.

The previous prime is 37530053123. The next prime is 37530053137. The reversal of 37530053131 is 13135003573.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 37530053131 - 23 = 37530053123 is a prime.

It is a super-2 number, since 2×375300531312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37530053093 and 37530053102.

It is not a weakly prime, because it can be changed into another prime (37530053137) 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, 18765026565 + 18765026566.

It is an arithmetic number, because the mean of its divisors is an integer number (18765026566).

Almost surely, 237530053131 is an apocalyptic number.

37530053131 is a deficient number, since it is larger than the sum of its proper divisors (1).

37530053131 is an equidigital number, since it uses as much as digits as its factorization.

37530053131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 31.

The spelling of 37530053131 in words is "thirty-seven billion, five hundred thirty million, fifty-three thousand, one hundred thirty-one".