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2021132137 is a prime number
BaseRepresentation
bin111100001111000…
…0000011101101001
312012212010011001211
41320132000131221
513114402212022
6532315513121
7101041224343
oct17036003551
95185104054
102021132137
11947970542
12484a587a1
13262965b9b
141525da293
15bc688e77
hex78780769

2021132137 has 2 divisors, whose sum is σ = 2021132138. Its totient is φ = 2021132136.

The previous prime is 2021132111. The next prime is 2021132147. The reversal of 2021132137 is 7312311202.

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., 1471182736 + 549949401 = 38356^2 + 23451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021132137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2021132147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010566068 + 1010566069.

It is an arithmetic number, because the mean of its divisors is an integer number (1010566069).

Almost surely, 22021132137 is an apocalyptic number.

It is an amenable number.

2021132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021132137 is an equidigital number, since it uses as much as digits as its factorization.

2021132137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2021132137 is about 44957.0032030606. The cubic root of 2021132137 is about 1264.3429828285.

Adding to 2021132137 its reverse (7312311202), we get a palindrome (9333443339).

The spelling of 2021132137 in words is "two billion, twenty-one million, one hundred thirty-two thousand, one hundred thirty-seven".