Search a number
-
+
112130001000 = 2334531972859
BaseRepresentation
bin110100001101101111…
…0000000100001101000
3101201102112101020110000
41220123132000201220
53314120240013000
6123302315023000
711046454165623
oct1503336004150
9351375336400
10112130001000
114361050a416
121989413aa60
13a75c890324
1455da03cdba
152db40d9000
hex1a1b780868

112130001000 has 320 divisors, whose sum is σ = 412591608000. Its totient is φ = 28327190400.

The previous prime is 112130000989. The next prime is 112130001001. The reversal of 112130001000 is 100031211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112130001001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1502571 + ... + 1575429.

It is an arithmetic number, because the mean of its divisors is an integer number (1289348775).

Almost surely, 2112130001000 is an apocalyptic number.

112130001000 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 112130001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206295804000).

112130001000 is an abundant number, since it is smaller than the sum of its proper divisors (300461607000).

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

112130001000 is a wasteful number, since it uses less digits than its factorization.

112130001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72911 (or 72888 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112130001000 its reverse (100031211), we get a palindrome (112230032211).

The spelling of 112130001000 in words is "one hundred twelve billion, one hundred thirty million, one thousand".