Search a number
-
+
113323221000 = 233253114127919
BaseRepresentation
bin110100110001010010…
…1110010000000001000
3101211111200122002120100
41221202211302000020
53324041221033000
6124020541525400
711121153325263
oct1514245620010
9354450562510
10113323221000
1144073005250
1219b67873860
13a8bcb4c772
1456b06c5cda
152e33c35a00
hex1a62972008

113323221000 has 384 divisors, whose sum is σ = 428060505600. Its totient is φ = 26801280000.

The previous prime is 113323220953. The next prime is 113323221031. The reversal of 113323221000 is 122323311.

113323221000 is a `hidden beast` number, since 1 + 1 + 332 + 322 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4045041 + ... + 4072959.

It is an arithmetic number, because the mean of its divisors is an integer number (1114740900).

Almost surely, 2113323221000 is an apocalyptic number.

113323221000 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 113323221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214030252800).

113323221000 is an abundant number, since it is smaller than the sum of its proper divisors (314737284600).

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

113323221000 is a wasteful number, since it uses less digits than its factorization.

113323221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27998 (or 27981 counting only the distinct ones).

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

Adding to 113323221000 its reverse (122323311), we get a palindrome (113445544311).

The spelling of 113323221000 in words is "one hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand".