Search a number
-
+
12102222042 = 2334722321383
BaseRepresentation
bin10110100010101100…
…10100000011011010
31011020102110120122000
423101112110003122
5144241132101132
65320520341430
7605622122121
oct132126240332
934212416560
1012102222042
1151504305a9
122419014876
1311ab3a5841
1482b42aab8
154ac71387c
hex2d15940da

12102222042 has 64 divisors (see below), whose sum is σ = 27590492160. Its totient is φ = 3930353712.

The previous prime is 12102222017. The next prime is 12102222061. The reversal of 12102222042 is 24022220121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555283 + ... + 576665.

It is an arithmetic number, because the mean of its divisors is an integer number (431101440).

Almost surely, 212102222042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102222042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795246080).

12102222042 is an abundant number, since it is smaller than the sum of its proper divisors (15488270118).

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

12102222042 is a wasteful number, since it uses less digits than its factorization.

12102222042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21664 (or 21658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12102222042 its reverse (24022220121), we get a palindrome (36124442163).

The spelling of 12102222042 in words is "twelve billion, one hundred two million, two hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 223 282 423 446 669 846 1269 1338 2007 2538 4014 6021 10481 12042 20962 21383 31443 42766 62886 64149 94329 128298 188658 192447 282987 384894 565974 577341 1005001 1154682 2010002 3015003 4768409 6030006 9045009 9536818 14305227 18090018 27135027 28610454 42915681 54270054 85831362 128747043 224115223 257494086 448230446 672345669 1344691338 2017037007 4034074014 6051111021 12102222042