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10023120225 = 34524949689
BaseRepresentation
bin10010101010110110…
…01010110101100001
3221212112021021010000
421111123022311201
5131011404321400
64334330130213
7503245054566
oct112533126541
927775237100
1010023120225
114283876638
121b38880969
13c39723b91
146b126086d
153d9e28600
hex2556cad61

10023120225 has 30 divisors (see below), whose sum is σ = 18566287190. Its totient is φ = 5345663040.

The previous prime is 10023120223. The next prime is 10023120257. The reversal of 10023120225 is 52202132001.

10023120225 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1531313424 + 8491806801 = 39132^2 + 92151^2 .

It is not a de Polignac number, because 10023120225 - 21 = 10023120223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023120198 and 10023120207.

It is not an unprimeable number, because it can be changed into a prime (10023120221) 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 in 29 ways as a sum of consecutive naturals, for example, 2472820 + ... + 2476869.

Almost surely, 210023120225 is an apocalyptic number.

10023120225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023120225 is a deficient number, since it is larger than the sum of its proper divisors (8543166965).

10023120225 is an equidigital number, since it uses as much as digits as its factorization.

10023120225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949711 (or 4949697 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10023120225 its reverse (52202132001), we get a palindrome (62225252226).

The spelling of 10023120225 in words is "ten billion, twenty-three million, one hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 4949689 14849067 24748445 44547201 74245335 123742225 133641603 222736005 371226675 400924809 668208015 1113680025 2004624045 3341040075 10023120225