Search a number
-
+
112013200320 = 2635724675099
BaseRepresentation
bin110100001010010000…
…0011100101111000000
3101201010101121011000220
41220110200130233000
53313400334402240
6123242543343040
711043535331100
oct1502440345700
9351111534026
10112013200320
114356059332a
1219860bb1a80
13a7416166b8
1455c8717200
152da8c165d0
hex1a1481cbc0

112013200320 has 336 divisors, whose sum is σ = 414673084800. Its totient is φ = 25543182336.

The previous prime is 112013200309. The next prime is 112013200349. The reversal of 112013200320 is 23002310211.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112013200320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21965131 + ... + 21970229.

Almost surely, 2112013200320 is an apocalyptic number.

112013200320 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 112013200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207336542400).

112013200320 is an abundant number, since it is smaller than the sum of its proper divisors (302659884480).

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

112013200320 is a wasteful number, since it uses less digits than its factorization.

112013200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112013200320 its reverse (23002310211), we get a palindrome (135015510531).

The spelling of 112013200320 in words is "one hundred twelve billion, thirteen million, two hundred thousand, three hundred twenty".