Search a number
-
+
10245601422225 = 3252133502769717
BaseRepresentation
bin1001010100010111110101…
…1011101110101110010001
31100021110200120122012120200
42111011331123232232101
52320330442431002400
633442433031525413
72105135361111201
oct225057533565621
940243616565520
1010245601422225
1132a015399a724
1211957bb229869
13594204b61870
14275c656b6401
1512b7a1a04b00
hex9517d6eeb91

10245601422225 has 36 divisors (see below), whose sum is σ = 19762626748956. Its totient is φ = 5043988391040.

The previous prime is 10245601422169. The next prime is 10245601422229. The reversal of 10245601422225 is 52222410654201.

10245601422225 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 6 + 0 + 1 + 422 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 337970147904 + 9907631274321 = 581352^2 + 3147639^2 .

It is not a de Polignac number, because 10245601422225 - 213 = 10245601414033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10245601422225.

It is not an unprimeable number, because it can be changed into a prime (10245601422229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1751381934 + ... + 1751387783.

Almost surely, 210245601422225 is an apocalyptic number.

10245601422225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10245601422225 is a deficient number, since it is larger than the sum of its proper divisors (9517025326731).

10245601422225 is a wasteful number, since it uses less digits than its factorization.

10245601422225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502769746 (or 3502769738 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10245601422225 in words is "ten trillion, two hundred forty-five billion, six hundred one million, four hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 3502769717 10508309151 17513848585 31524927453 45536006321 52541545755 87569242925 136608018963 157624637265 227680031605 262707728775 409824056889 683040094815 788123186325 1138400158025 2049120284445 3415200474075 10245601422225