Search a number
-
+
112101031020 = 223511614795813
BaseRepresentation
bin110100001100110111…
…1011111110001101100
3101201100111212102002210
41220121233133301230
53314040330443040
6123255402050420
711045653020216
oct1503157376154
9351314772083
10112101031020
11435a6122890
12198864a9a10
13a756889124
1455d625b5b6
152db17b5480
hex1a19bdfc6c

112101031020 has 192 divisors, whose sum is σ = 348817674240. Its totient is φ = 26670105600.

The previous prime is 112101031019. The next prime is 112101031043. The reversal of 112101031020 is 20130101211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112101030987 and 112101031005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19281634 + ... + 19287446.

It is an arithmetic number, because the mean of its divisors is an integer number (1816758720).

Almost surely, 2112101031020 is an apocalyptic number.

112101031020 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 112101031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174408837120).

112101031020 is an abundant number, since it is smaller than the sum of its proper divisors (236716643220).

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

112101031020 is a wasteful number, since it uses less digits than its factorization.

112101031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112101031020 its reverse (20130101211), we get a palindrome (132231132231).

The spelling of 112101031020 in words is "one hundred twelve billion, one hundred one million, thirty-one thousand, twenty".