Search a number
-
+
10363243000 = 235311942113
BaseRepresentation
bin10011010011011001…
…01000100111111000
3222202020021021211211
421221230220213320
5132210442234000
64432200132504
7514545053305
oct115154504770
928666237754
1010363243000
114438864940
122012767134
13c9202c366
147044ba0ac
15409c107ba
hex269b289f8

10363243000 has 64 divisors (see below), whose sum is σ = 26454561120. Its totient is φ = 3768448000.

The previous prime is 10363242997. The next prime is 10363243001. The reversal of 10363243000 is 34236301.

10363243000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103632430003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363243001) 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 15 ways as a sum of consecutive naturals, for example, 460057 + ... + 482056.

Almost surely, 210363243000 is an apocalyptic number.

10363243000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10363243000 is an abundant number, since it is smaller than the sum of its proper divisors (16091318120).

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

10363243000 is a wasteful number, since it uses less digits than its factorization.

10363243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942145 (or 942131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10363243000 its reverse (34236301), we get a palindrome (10397479301).

The spelling of 10363243000 in words is "ten billion, three hundred sixty-three million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 942113 1884226 3768452 4710565 7536904 9421130 10363243 18842260 20726486 23552825 37684520 41452972 47105650 51816215 82905944 94211300 103632430 117764125 188422600 207264860 235528250 259081075 414529720 471056500 518162150 942113000 1036324300 1295405375 2072648600 2590810750 5181621500 10363243000