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10223246129 is a prime number
BaseRepresentation
bin10011000010101101…
…00101101100110001
3222101110211201020112
421201112211230301
5131414122334004
64410235351105
7511225105205
oct114126455461
928343751215
1010223246129
114376835148
121b938b2495
13c6c023585
146cda76b05
153ec7a9e6e
hex2615a5b31

10223246129 has 2 divisors, whose sum is σ = 10223246130. Its totient is φ = 10223246128.

The previous prime is 10223246107. The next prime is 10223246171. The reversal of 10223246129 is 92164232201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8344457104 + 1878789025 = 91348^2 + 43345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223246129 is a prime.

It is a super-2 number, since 2×102232461292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10223246095 and 10223246104.

It is not a weakly prime, because it can be changed into another prime (10223246729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111623064 + 5111623065.

It is an arithmetic number, because the mean of its divisors is an integer number (5111623065).

Almost surely, 210223246129 is an apocalyptic number.

It is an amenable number.

10223246129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223246129 is an equidigital number, since it uses as much as digits as its factorization.

10223246129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 10223246129 in words is "ten billion, two hundred twenty-three million, two hundred forty-six thousand, one hundred twenty-nine".