Search a number
-
+
2203117113024 = 2635476149411
BaseRepresentation
bin100000000011110100000…
…000110100111011000000
321210121122000112021200000
4200003310000310323000
5242043440440104044
64404033101400000
7315112203323112
oct40036400647300
97717560467600
102203117113024
1177a3781a2153
122b6b8b569000
1312c9a35c0909
14788ba9413b2
153c494e2ad69
hex200f4034ec0

2203117113024 has 336 divisors, whose sum is σ = 6797832577536. Its totient is φ = 706950374400.

The previous prime is 2203117113019. The next prime is 2203117113077. The reversal of 2203117113024 is 4203117113022.

It is a super-6 number, since 6×22031171130246 (a number of 75 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44562879 + ... + 44612289.

It is an arithmetic number, because the mean of its divisors is an integer number (20231644576).

Almost surely, 22203117113024 is an apocalyptic number.

2203117113024 is a gapful number since it is divisible by the number (24) 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 2203117113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398916288768).

2203117113024 is an abundant number, since it is smaller than the sum of its proper divisors (4594715464512).

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

2203117113024 is an equidigital number, since it uses as much as digits as its factorization.

2203117113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49546 (or 49524 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2203117113024 in words is "two trillion, two hundred three billion, one hundred seventeen million, one hundred thirteen thousand, twenty-four".