Search a number
-
+
112222121010 = 23567163342527
BaseRepresentation
bin110100010000011110…
…1011010110000110010
3101201122221201102100020
41220200331122300302
53314312330333020
6123315405304310
711051653201236
oct1504075326062
9351587642306
10112222121010
114365850955a
12198bab65096
13a7759a51cc
14560837c5c6
152dbc233c40
hex1a20f5ac32

112222121010 has 64 divisors (see below), whose sum is σ = 275030802432. Its totient is φ = 29298303936.

The previous prime is 112222120939. The next prime is 112222121021. The reversal of 112222121010 is 10121222211.

112222121010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156367 + ... + 498893.

It is an arithmetic number, because the mean of its divisors is an integer number (4297356288).

Almost surely, 2112222121010 is an apocalyptic number.

112222121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112222121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137515401216).

112222121010 is an abundant number, since it is smaller than the sum of its proper divisors (162808681422).

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

112222121010 is a wasteful number, since it uses less digits than its factorization.

112222121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342767.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112222121010 its reverse (10121222211), we get a palindrome (122343343221).

The spelling of 112222121010 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 163 201 326 335 402 489 670 815 978 1005 1630 2010 2445 4890 10921 21842 32763 54605 65526 109210 163815 327630 342527 685054 1027581 1712635 2055162 3425270 5137905 10275810 22949309 45898618 55831901 68847927 111663802 114746545 137695854 167495703 229493090 279159505 334991406 344239635 558319010 688479270 837478515 1674957030 3740737367 7481474734 11222212101 18703686835 22444424202 37407373670 56111060505 112222121010