Search a number
-
+
1010312203200 = 263521753233609
BaseRepresentation
bin11101011001110110100…
…11001100101111000000
310120120210101122121212220
432230323103030233000
5113023104411000300
62052044144451040
7132664323014256
oct16547323145700
93516711577786
101010312203200
1135a51a999883
1214397b619a80
137436c867421
1436c83c385d6
151b431c43da0
hexeb3b4ccbc0

1010312203200 has 336 divisors, whose sum is σ = 3575881352160. Its totient is φ = 248783175680.

The previous prime is 1010312203193. The next prime is 1010312203207. The reversal of 1010312203200 is 23022130101.

It is an interprime number because it is at equal distance from previous prime (1010312203193) and next prime (1010312203207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010312203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010312203207) 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, 4207996 + ... + 4441604.

Almost surely, 21010312203200 is an apocalyptic number.

1010312203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010312203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787940676080).

1010312203200 is an abundant number, since it is smaller than the sum of its proper divisors (2565569148960).

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

1010312203200 is a wasteful number, since it uses less digits than its factorization.

1010312203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233704 (or 233689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1010312203200 its reverse (23022130101), we get a palindrome (1033334333301).

The spelling of 1010312203200 in words is "one trillion, ten billion, three hundred twelve million, two hundred three thousand, two hundred".