Search a number
-
+
10345231521 = 33383156723
BaseRepresentation
bin10011010001001111…
…11011010010100001
3222200222101012202000
421220213323102201
5132141334402041
64430314114213
7514236005562
oct115047732241
928628335660
1010345231521
114429682619
12200871b969
13c8b394091
14701d4c169
15408353bb6
hex2689fb4a1

10345231521 has 8 divisors (see below), whose sum is σ = 15326268960. Its totient is φ = 6896820996.

The previous prime is 10345231471. The next prime is 10345231537. The reversal of 10345231521 is 12513254301.

10345231521 is a `hidden beast` number, since 1 + 0 + 345 + 2 + 315 + 2 + 1 = 666.

10345231521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10345231521 - 211 = 10345229473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 383156723 = 10345231521 / (1 + 0 + 3 + 4 + 5 + 2 + 3 + 1 + 5 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (10345231541) 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 7 ways as a sum of consecutive naturals, for example, 191578335 + ... + 191578388.

It is an arithmetic number, because the mean of its divisors is an integer number (1915783620).

Almost surely, 210345231521 is an apocalyptic number.

It is an amenable number.

10345231521 is a deficient number, since it is larger than the sum of its proper divisors (4981037439).

10345231521 is an equidigital number, since it uses as much as digits as its factorization.

10345231521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383156732 (or 383156726 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10345231521 its reverse (12513254301), we get a palindrome (22858485822).

The spelling of 10345231521 in words is "ten billion, three hundred forty-five million, two hundred thirty-one thousand, five hundred twenty-one".

Divisors: 1 3 9 27 383156723 1149470169 3448410507 10345231521