Search a number
-
+
2300021010000 = 243254737791249
BaseRepresentation
bin100001011110000011111…
…011110110111001010000
322010212202102022022000100
4201132003323312321100
5300140420334310000
64520340504252400
7325112444004150
oct41360373667120
98125672268010
102300021010000
1180748499821a
12311914471100
13138b7783b01c
147d470700760
153ec6743ba00
hex21783ef6e50

2300021010000 has 1200 divisors, whose sum is σ = 9568187200000. Its totient is φ = 504631296000.

The previous prime is 2300021009953. The next prime is 2300021010059. The reversal of 2300021010000 is 101200032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1841489376 + ... + 1841490624.

Almost surely, 22300021010000 is an apocalyptic number.

2300021010000 is a gapful number since it is divisible by the number (20) 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 2300021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784093600000).

2300021010000 is an abundant number, since it is smaller than the sum of its proper divisors (7268166190000).

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

2300021010000 is a wasteful number, since it uses less digits than its factorization.

2300021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2300021010000 its reverse (101200032), we get a palindrome (2300122210032).

The spelling of 2300021010000 in words is "two trillion, three hundred billion, twenty-one million, ten thousand".