Search a number
-
+
23122321002 = 2321138831093
BaseRepresentation
bin10101100010001100…
…101001111001101010
32012200102201121110100
4111202030221321222
5334323303233002
614342223330230
71445664325404
oct254214517152
965612647410
1023122321002
119895a47000
124593750976
132246519661
141194c4db74
15904e2311c
hex562329e6a

23122321002 has 96 divisors (see below), whose sum is σ = 55217313216. Its totient is φ = 6992425440.

The previous prime is 23122320983. The next prime is 23122321031. The reversal of 23122321002 is 20012322132.

23122321002 is a `hidden beast` number, since 231 + 223 + 210 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 21154368 + ... + 21155460.

It is an arithmetic number, because the mean of its divisors is an integer number (575180346).

Almost surely, 223122321002 is an apocalyptic number.

23122321002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122321002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608656608).

23122321002 is an abundant number, since it is smaller than the sum of its proper divisors (32094992214).

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

23122321002 is a wasteful number, since it uses less digits than its factorization.

23122321002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23122321002 its reverse (20012322132), we get a palindrome (43134643134).

The spelling of 23122321002 in words is "twenty-three billion, one hundred twenty-two million, three hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 883 1089 1093 1331 1766 2178 2186 2649 2662 3279 3993 5298 6558 7947 7986 9713 9837 11979 12023 15894 19426 19674 23958 24046 29139 36069 58278 72138 87417 106843 108207 132253 174834 213686 216414 264506 320529 396759 641058 793518 961587 965119 1175273 1190277 1454783 1923174 1930238 2350546 2380554 2895357 2909566 3525819 4364349 5790714 7051638 8686071 8728698 10577457 10616309 13093047 17372142 21154914 21232618 26186094 31848927 63697854 95546781 116779399 191093562 233558798 350338197 700676394 1051014591 1284573389 2102029182 2569146778 3853720167 7707440334 11561160501 23122321002