Search a number
-
+
111320010000 = 2432542634703
BaseRepresentation
bin110011110101100110…
…0001000110100010000
3101122100002020102200100
41213223030020310100
53310440410310000
6123050102052400
711020420321053
oct1475314106420
9348302212610
10111320010000
1143235275171
12196a8a1a100
13a660b1ca04
145560632a9a
152d67e3ba00
hex19eb308d10

111320010000 has 300 divisors, whose sum is σ = 390865483008. Its totient is φ = 29566176000.

The previous prime is 111320009987. The next prime is 111320010007. The reversal of 111320010000 is 10023111.

It is a tau number, because it is divible by the number of its divisors (300).

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 (111320010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23667649 + ... + 23672351.

Almost surely, 2111320010000 is an apocalyptic number.

111320010000 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 111320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195432741504).

111320010000 is an abundant number, since it is smaller than the sum of its proper divisors (279545473008).

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

111320010000 is a wasteful number, since it uses less digits than its factorization.

111320010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4976 counting only the distinct ones).

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

Adding to 111320010000 its reverse (10023111), we get a palindrome (111330033111).

The spelling of 111320010000 in words is "one hundred eleven billion, three hundred twenty million, ten thousand".