Search a number
-
+
112411021000 = 23531773239379
BaseRepresentation
bin110100010110000111…
…0000000111011001000
3101202011010011112102011
41220230032000323020
53320204210133000
6123350234145304
711056435625125
oct1505416007310
9352133145364
10112411021000
11437450aa953
1219952282234
13a7a5b74055
1456254b174c
152dcdae92ba
hex1a2c380ec8

112411021000 has 256 divisors, whose sum is σ = 284259456000. Its totient is φ = 41455411200.

The previous prime is 112411020989. The next prime is 112411021001. The reversal of 112411021000 is 120114211.

It is not an unprimeable number, because it can be changed into a prime (112411021001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296598811 + ... + 296599189.

It is an arithmetic number, because the mean of its divisors is an integer number (1110388500).

Almost surely, 2112411021000 is an apocalyptic number.

112411021000 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 112411021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142129728000).

112411021000 is an abundant number, since it is smaller than the sum of its proper divisors (171848435000).

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

112411021000 is a wasteful number, since it uses less digits than its factorization.

112411021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112411021000 its reverse (120114211), we get a palindrome (112531135211).

The spelling of 112411021000 in words is "one hundred twelve billion, four hundred eleven million, twenty-one thousand".