Search a number
-
+
2237066131 is a prime number
BaseRepresentation
bin1000010101010110…
…1110101110010011
312202220102201211011
42011111232232103
514040142104011
61005552031351
7106302514456
oct20525565623
95686381734
102237066131
11a48846993
12525232557
1329860b991
1417316949d
15d15de621
hex8556eb93

2237066131 has 2 divisors, whose sum is σ = 2237066132. Its totient is φ = 2237066130.

The previous prime is 2237066129. The next prime is 2237066179. The reversal of 2237066131 is 1316607322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2237066131 - 21 = 2237066129 is a prime.

It is a super-2 number, since 2×22370661312 = 10008929748934618322, which contains 22 as substring.

Together with 2237066129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2237066093 and 2237066102.

It is not a weakly prime, because it can be changed into another prime (2237066101) 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, 1118533065 + 1118533066.

It is an arithmetic number, because the mean of its divisors is an integer number (1118533066).

Almost surely, 22237066131 is an apocalyptic number.

2237066131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2237066131 is an equidigital number, since it uses as much as digits as its factorization.

2237066131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2237066131 is about 47297.6334608826. The cubic root of 2237066131 is about 1307.8550316364.

The spelling of 2237066131 in words is "two billion, two hundred thirty-seven million, sixty-six thousand, one hundred thirty-one".