Search a number
-
+
10013003441 = 723179181461
BaseRepresentation
bin10010101001101001…
…00100111010110001
3221211211020021111022
421110310210322301
5131001312102231
64333325225225
7503063060600
oct112464447261
927754207438
1010013003441
114279096761
121b35402215
13c375c110c
146adb89a37
153d90cac7b
hex254d24eb1

10013003441 has 48 divisors (see below), whose sum is σ = 12269537280. Its totient is φ = 8137584000.

The previous prime is 10013003423. The next prime is 10013003443. The reversal of 10013003441 is 14430031001.

It is a de Polignac number, because none of the positive numbers 2k-10013003441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10013003443) 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, 21719951 + ... + 21720411.

It is an arithmetic number, because the mean of its divisors is an integer number (255615360).

Almost surely, 210013003441 is an apocalyptic number.

It is an amenable number.

10013003441 is a deficient number, since it is larger than the sum of its proper divisors (2256533839).

10013003441 is a wasteful number, since it uses less digits than its factorization.

10013003441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10013003441 its reverse (14430031001), we get a palindrome (24443034442).

The spelling of 10013003441 in words is "ten billion, thirteen million, three thousand, four hundred forty-one".

Divisors: 1 7 31 49 79 181 217 461 553 1267 1519 2449 3227 3871 5611 8869 14291 14299 17143 22589 36419 39277 83441 100037 100093 120001 254933 274939 443269 584087 700259 700651 1128989 1784531 2586671 3102883 4088609 6591839 7902923 18106697 21720181 46142873 55320461 126746879 204347009 323000111 1430429063 10013003441