Search a number
-
+
10440332120 = 235261008303
BaseRepresentation
bin10011011100100101…
…01101001101011000
3222221121022211020102
421232102231031120
5132340211111440
64443552314532
7516502234031
oct115622551530
928847284212
1010440332120
114478328059
122034542a48
13ca4cb081a
14710825a88
1541188bb15
hex26e4ad358

10440332120 has 16 divisors (see below), whose sum is σ = 23490747360. Its totient is φ = 4176132832.

The previous prime is 10440332087. The next prime is 10440332131. The reversal of 10440332120 is 2123304401.

10440332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10440332092 and 10440332101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 130504112 + ... + 130504191.

It is an arithmetic number, because the mean of its divisors is an integer number (1468171710).

Almost surely, 210440332120 is an apocalyptic number.

10440332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440332120 is an abundant number, since it is smaller than the sum of its proper divisors (13050415240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10440332120 is a wasteful number, since it uses less digits than its factorization.

10440332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261008314 (or 261008310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10440332120 its reverse (2123304401), we get a palindrome (12563636521).

The spelling of 10440332120 in words is "ten billion, four hundred forty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 261008303 522016606 1044033212 1305041515 2088066424 2610083030 5220166060 10440332120