Search a number
-
+
113023000320 = 2835531633407
BaseRepresentation
bin110100101000010110…
…0100001111100000000
3101210201202201022012220
41221100230201330000
53322432342002240
6123531055051040
711110546436316
oct1512054417400
9353652638186
10113023000320
1143a2959aa8a
1219aa3210a80
13a8728a53a9
1456828960b6
152e176d15d0
hex1a50b21f00

113023000320 has 288 divisors, whose sum is σ = 370142825472. Its totient is φ = 29380755456.

The previous prime is 113023000301. The next prime is 113023000327. The reversal of 113023000320 is 23000320311.

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 113023000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113023000327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33172057 + ... + 33175463.

It is an arithmetic number, because the mean of its divisors is an integer number (1285218144).

Almost surely, 2113023000320 is an apocalyptic number.

113023000320 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 113023000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185071412736).

113023000320 is an abundant number, since it is smaller than the sum of its proper divisors (257119825152).

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

113023000320 is a wasteful number, since it uses less digits than its factorization.

113023000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 113023000320 its reverse (23000320311), we get a palindrome (136023320631).

The spelling of 113023000320 in words is "one hundred thirteen billion, twenty-three million, three hundred twenty", and thus it is an aban number.