Search a number
-
+
113111232000 = 293531345317
BaseRepresentation
bin110100101010111110…
…1000110111000000000
3101210221220201221022220
41221111331012320000
53323122433411000
6123543530131040
711113000415454
oct1512575067000
9353856657286
10113111232000
1143a74383828
1219b08880a80
13a887c584a0
1456904a2664
152e2030e1a0
hex1a55f46e00

113111232000 has 320 divisors, whose sum is σ = 405003703104. Its totient is φ = 27842150400.

The previous prime is 113111231969. The next prime is 113111232007. The reversal of 113111232000 is 232111311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473342 + ... + 2518658.

Almost surely, 2113111232000 is an apocalyptic number.

113111232000 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 113111232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202501851552).

113111232000 is an abundant number, since it is smaller than the sum of its proper divisors (291892471104).

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

113111232000 is an equidigital number, since it uses as much as digits as its factorization.

113111232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45366 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113111232000 its reverse (232111311), we get a palindrome (113343343311).

The spelling of 113111232000 in words is "one hundred thirteen billion, one hundred eleven million, two hundred thirty-two thousand".