Search a number
-
+
221300112033000 = 2332537311131737797
BaseRepresentation
bin110010010100010101110010…
…100100010000010011101000
31002000120002021022020212211200
4302110111302210100103220
5213001240112140024000
62102355511252324200
764420256035311000
oct6224256244202350
91060502238225750
10221300112033000
1164570939a62630
12209a153b913660
139663684934860
143c90da8271000
151a8b7ccaca500
hexc945729104e8

221300112033000 has 6144 divisors, whose sum is σ = 1115802874368000. Its totient is φ = 38821773312000.

The previous prime is 221300112032999. The next prime is 221300112033001. The reversal of 221300112033000 is 330211003122.

221300112033000 is a `hidden beast` number, since 2 + 2 + 1 + 300 + 11 + 20 + 330 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221300112032999) and next prime (221300112033001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221300112033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 277666388602 + ... + 277666389398.

It is an arithmetic number, because the mean of its divisors is an integer number (181608540750).

Almost surely, 2221300112033000 is an apocalyptic number.

221300112033000 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 221300112033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557901437184000).

221300112033000 is an abundant number, since it is smaller than the sum of its proper divisors (894502762335000).

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

221300112033000 is a wasteful number, since it uses less digits than its factorization.

221300112033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221300112033000 its reverse (330211003122), we get a palindrome (221630323036122).

The spelling of 221300112033000 in words is "two hundred twenty-one trillion, three hundred billion, one hundred twelve million, thirty-three thousand".