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10024411300 = 2252100244113
BaseRepresentation
bin10010101011000000…
…00110000010100100
3221212121200212010121
421111200012002210
5131012222130200
64334413531324
7503262042631
oct112540060244
927777625117
1010024411300
114284578642
121b391a3b44
13c39a86727
146b14b9188
153da0d0e1a
hex2558060a4

10024411300 has 18 divisors (see below), whose sum is σ = 21752972738. Its totient is φ = 4009764480.

The previous prime is 10024411283. The next prime is 10024411303. The reversal of 10024411300 is 311442001.

It can be written as a sum of positive squares in 3 ways, for example, as 3548346624 + 6476064676 = 59568^2 + 80474^2 .

It is not an unprimeable number, because it can be changed into a prime (10024411303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50121957 + ... + 50122156.

Almost surely, 210024411300 is an apocalyptic number.

10024411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024411300 is an abundant number, since it is smaller than the sum of its proper divisors (11728561438).

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

10024411300 is a wasteful number, since it uses less digits than its factorization.

10024411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100244127 (or 100244120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10024411300 its reverse (311442001), we get a palindrome (10335853301).

The spelling of 10024411300 in words is "ten billion, twenty-four million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100244113 200488226 400976452 501220565 1002441130 2004882260 2506102825 5012205650 10024411300