Search a number
-
+
112222110000 = 243547111337101
BaseRepresentation
bin110100010000011110…
…1011000000100110000
3101201122221200212020110
41220200331120010300
53314312330010000
6123315405141320
711051653124160
oct1504075300460
9351587625213
10112222110000
1143658501260
12198bab5a840
13a7759a01b0
1456083785a0
152dbc230850
hex1a20f58130

112222110000 has 1600 divisors, whose sum is σ = 504493710336. Its totient is φ = 20736000000.

The previous prime is 112222109969. The next prime is 112222110001. The reversal of 112222110000 is 11222211.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (112222110001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1111109950 + ... + 1111110050.

Almost surely, 2112222110000 is an apocalyptic number.

112222110000 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 112222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252246855168).

112222110000 is an abundant number, since it is smaller than the sum of its proper divisors (392271600336).

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

112222110000 is a wasteful number, since it uses less digits than its factorization.

112222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112222110000 its reverse (11222211), we get a palindrome (112233332211).

112222110000 divided by its reverse (11222211) gives a 4-th power (10000 = 104).

It can be divided in two parts, 112222 and 110000, that added together give a palindrome (222222).

The spelling of 112222110000 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred ten thousand".