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10122330461 is a prime number
BaseRepresentation
bin10010110110101011…
…01000000101011101
3222010102221122222012
421123111220011131
5131212304033321
64352232401005
7505561250345
oct113325500535
928112848865
1010122330461
114324878771
121b65b46165
13c5414c069
146c04c7d25
153e39c405b
hex25b56815d

10122330461 has 2 divisors, whose sum is σ = 10122330462. Its totient is φ = 10122330460.

The previous prime is 10122330409. The next prime is 10122330467. The reversal of 10122330461 is 16403322101.

10122330461 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., 8950295236 + 1172035225 = 94606^2 + 34235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122330461 - 218 = 10122068317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122330467) 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, 5061165230 + 5061165231.

It is an arithmetic number, because the mean of its divisors is an integer number (5061165231).

Almost surely, 210122330461 is an apocalyptic number.

It is an amenable number.

10122330461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122330461 is an equidigital number, since it uses as much as digits as its factorization.

10122330461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10122330461 its reverse (16403322101), we get a palindrome (26525652562).

The spelling of 10122330461 in words is "ten billion, one hundred twenty-two million, three hundred thirty thousand, four hundred sixty-one".