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10621762241 is a prime number
BaseRepresentation
bin10011110010001101…
…10011101011000001
31000102020201102120112
421321012303223001
5133223132342431
64513553121105
7524134326566
oct117106635301
930366642515
1010621762241
114560787202
122085259195
13100376561c
1472a97286d
15422778c2b
hex2791b3ac1

10621762241 has 2 divisors, whose sum is σ = 10621762242. Its totient is φ = 10621762240.

The previous prime is 10621762201. The next prime is 10621762253. The reversal of 10621762241 is 14226712601.

10621762241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10420122241 + 201640000 = 102079^2 + 14200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10621762241 is a prime.

It is a super-2 number, since 2×106217622412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10621762198 and 10621762207.

It is not a weakly prime, because it can be changed into another prime (10621762201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5310881120 + 5310881121.

It is an arithmetic number, because the mean of its divisors is an integer number (5310881121).

Almost surely, 210621762241 is an apocalyptic number.

It is an amenable number.

10621762241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10621762241 is an equidigital number, since it uses as much as digits as its factorization.

10621762241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 10621762241 in words is "ten billion, six hundred twenty-one million, seven hundred sixty-two thousand, two hundred forty-one".