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2131201993 is a prime number
BaseRepresentation
bin111111100000111…
…1000111111001001
312111112020021112011
41333001320333021
513331041430433
6551251015521
7103545626614
oct17701707711
95445207464
102131201993
119a400a668
124b589a5a1
1327c6c3c8b
1416308d17b
15c717c3cd
hex7f078fc9

2131201993 has 2 divisors, whose sum is σ = 2131201994. Its totient is φ = 2131201992.

The previous prime is 2131201979. The next prime is 2131202033. The reversal of 2131201993 is 3991021312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1473638544 + 657563449 = 38388^2 + 25643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2131201993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131201903) 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, 1065600996 + 1065600997.

It is an arithmetic number, because the mean of its divisors is an integer number (1065600997).

Almost surely, 22131201993 is an apocalyptic number.

It is an amenable number.

2131201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131201993 is an equidigital number, since it uses as much as digits as its factorization.

2131201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 2131201993 is about 46164.9433336596. The cubic root of 2131201993 is about 1286.8903311126.

The spelling of 2131201993 in words is "two billion, one hundred thirty-one million, two hundred one thousand, nine hundred ninety-three".