Search a number
-
+
10431953290 = 2511231727197
BaseRepresentation
bin10011011011100101…
…01111100110001010
3222221000120010122101
421231302233212022
5132331040001130
64443052544014
7516341065663
oct115562574612
928830503571
1010431953290
114473624a00
12203178200a
13ca3338b35
1470d68436a
15410c841ca
hex26dcaf98a

10431953290 has 48 divisors (see below), whose sum is σ = 20705619816. Its totient is φ = 3781331840.

The previous prime is 10431953269. The next prime is 10431953293. The reversal of 10431953290 is 9235913401.

It can be written as a sum of positive squares in 4 ways, for example, as 5998657401 + 4433295889 = 77451^2 + 66583^2 .

It is not an unprimeable number, because it can be changed into a prime (10431953293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369972 + ... + 397168.

Almost surely, 210431953290 is an apocalyptic number.

10431953290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10431953290 is a deficient number, since it is larger than the sum of its proper divisors (10273666526).

10431953290 is a wasteful number, since it uses less digits than its factorization.

10431953290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27543 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

It can be divided in two parts, 104319 and 53290, that added together give a square (157609 = 3972).

The spelling of 10431953290 in words is "ten billion, four hundred thirty-one million, nine hundred fifty-three thousand, two hundred ninety".

Divisors: 1 2 5 10 11 22 55 110 121 242 317 605 634 1210 1585 3170 3487 6974 17435 27197 34870 38357 54394 76714 135985 191785 271970 299167 383570 598334 1495835 2991670 3290837 6581674 8621449 16454185 17242898 32908370 43107245 86214490 94835939 189671878 474179695 948359390 1043195329 2086390658 5215976645 10431953290