Search a number
-
+
10420112025 = 335264124083
BaseRepresentation
bin10011011010001011…
…00100101010011001
3222220012021112111000
421231011210222121
5132320022041100
64441551055213
7516135330231
oct115505445231
928805245430
1010420112025
114467977434
122029811509
13ca0a5117b
1470bc80cc1
1540ebe5900
hex26d164a99

10420112025 has 48 divisors (see below), whose sum is σ = 19172790720. Its totient is φ = 5548492800.

The previous prime is 10420112023. The next prime is 10420112029. The reversal of 10420112025 is 52021102401.

It is not a de Polignac number, because 10420112025 - 21 = 10420112023 is a prime.

It is a super-2 number, since 2×104201120252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10420111989 and 10420112007.

It is not an unprimeable number, because it can be changed into a prime (10420112023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420634 + ... + 444716.

It is an arithmetic number, because the mean of its divisors is an integer number (399433140).

Almost surely, 210420112025 is an apocalyptic number.

10420112025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10420112025 is a deficient number, since it is larger than the sum of its proper divisors (8752678695).

10420112025 is a wasteful number, since it uses less digits than its factorization.

10420112025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24743 (or 24732 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10420112025 its reverse (52021102401), we get a palindrome (62441214426).

The spelling of 10420112025 in words is "ten billion, four hundred twenty million, one hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 641 675 1923 3205 5769 9615 16025 17307 24083 28845 48075 72249 86535 120415 144225 216747 361245 432675 602075 650241 1083735 1806225 3251205 5418675 15437203 16256025 46311609 77186015 138934827 231558045 385930075 416804481 694674135 1157790225 2084022405 3473370675 10420112025