Search a number
-
+
10243200444 = 22310310976031
BaseRepresentation
bin10011000101000101…
…01101010110111100
3222102212101111102020
421202202231112330
5131434224403234
64412231200140
7511556524101
oct114242552674
928385344366
1010243200444
114387024114
121b9a516050
13c731bbc69
146d258caa8
153ee3ec549
hex2628ad5bc

10243200444 has 48 divisors (see below), whose sum is σ = 24354570240. Its totient is φ = 3350185920.

The previous prime is 10243200439. The next prime is 10243200467. The reversal of 10243200444 is 44400234201.

It is a happy number.

10243200444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 96709 + ... + 172739.

It is an arithmetic number, because the mean of its divisors is an integer number (507386880).

Almost surely, 210243200444 is an apocalyptic number.

It is an amenable number.

10243200444 is an abundant number, since it is smaller than the sum of its proper divisors (14111369796).

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

10243200444 is a wasteful number, since it uses less digits than its factorization.

10243200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76250 (or 76248 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10243200444 its reverse (44400234201), we get a palindrome (54643434645).

The spelling of 10243200444 in words is "ten billion, two hundred forty-three million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 103 109 206 218 309 327 412 436 618 654 1236 1308 11227 22454 33681 44908 67362 76031 134724 152062 228093 304124 456186 912372 7831193 8287379 15662386 16574758 23493579 24862137 31324772 33149516 46987158 49724274 93974316 99448548 853600037 1707200074 2560800111 3414400148 5121600222 10243200444