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2153313157 is a prime number
BaseRepresentation
bin1000000001011000…
…1111001110000101
312120001211122100011
42000112033032011
513402222010112
6553400550221
7104234600632
oct20026171605
95501748304
102153313157
11a05542056
12501182371
132841662c8
14165da7189
15c9098aa7
hex8058f385

2153313157 has 2 divisors, whose sum is σ = 2153313158. Its totient is φ = 2153313156.

The previous prime is 2153313137. The next prime is 2153313241. The reversal of 2153313157 is 7513133512.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1945780321 + 207532836 = 44111^2 + 14406^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153313157 - 223 = 2144924549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2153313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076656578 + 1076656579.

It is an arithmetic number, because the mean of its divisors is an integer number (1076656579).

Almost surely, 22153313157 is an apocalyptic number.

It is an amenable number.

2153313157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153313157 is an equidigital number, since it uses as much as digits as its factorization.

2153313157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 31.

The square root of 2153313157 is about 46403.8054150734. The cubic root of 2153313157 is about 1291.3255123184.

Adding to 2153313157 its reverse (7513133512), we get a palindrome (9666446669).

The spelling of 2153313157 in words is "two billion, one hundred fifty-three million, three hundred thirteen thousand, one hundred fifty-seven".