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10132412309 is a prime number
BaseRepresentation
bin10010110111111000…
…00101011110010101
3222011010220212122222
421123330011132111
5131222344143214
64353232432125
7506043040445
oct113374053625
928133825588
1010132412309
11432a534378
121b693a8645
13c5626bc56
146c1990125
153e481638e
hex25bf05795

10132412309 has 2 divisors, whose sum is σ = 10132412310. Its totient is φ = 10132412308.

The previous prime is 10132412273. The next prime is 10132412317. The reversal of 10132412309 is 90321423101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9574035409 + 558376900 = 97847^2 + 23630^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132412309 - 220 = 10131363733 is a prime.

It is a super-2 number, since 2×101324123092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132412009) 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, 5066206154 + 5066206155.

It is an arithmetic number, because the mean of its divisors is an integer number (5066206155).

Almost surely, 210132412309 is an apocalyptic number.

It is an amenable number.

10132412309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132412309 is an equidigital number, since it uses as much as digits as its factorization.

10132412309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 10132412309 in words is "ten billion, one hundred thirty-two million, four hundred twelve thousand, three hundred nine".