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130051993 is a prime number
BaseRepresentation
bin1111100000001…
…10111110011001
3100001201022210111
413300012332121
5231243130433
620523244321
73136265221
oct760067631
9301638714
10130051993
1167457a95
12376796a1
1320c36356
14133b5081
15b63ddcd
hex7c06f99

130051993 has 2 divisors, whose sum is σ = 130051994. Its totient is φ = 130051992.

The previous prime is 130051991. The next prime is 130051997. The reversal of 130051993 is 399150031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122478489 + 7573504 = 11067^2 + 2752^2 .

It is a cyclic number.

It is not a de Polignac number, because 130051993 - 21 = 130051991 is a prime.

Together with 130051991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (130051991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65025996 + 65025997.

It is an arithmetic number, because the mean of its divisors is an integer number (65025997).

Almost surely, 2130051993 is an apocalyptic number.

It is an amenable number.

130051993 is a deficient number, since it is larger than the sum of its proper divisors (1).

130051993 is an equidigital number, since it uses as much as digits as its factorization.

130051993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 130051993 is about 11404.0340669432. The cubic root of 130051993 is about 506.6472277765.

It can be divided in two parts, 130051 and 993, that added together give a square (131044 = 3622).

The spelling of 130051993 in words is "one hundred thirty million, fifty-one thousand, nine hundred ninety-three".