Search a number
-
+
23102122300 = 22522353189517
BaseRepresentation
bin10101100000111111…
…100110100100111100
32012122000201102001021
4111200333212210330
5334303120403200
614340222353524
71445330541145
oct254077464474
965560642037
1023102122300
119885600464
124588a2b8a4
13224229696a
1411922b2acc
1590328341a
hex560fe693c

23102122300 has 72 divisors (see below), whose sum is σ = 53298526176. Its totient is φ = 8672252160.

The previous prime is 23102122297. The next prime is 23102122301. The reversal of 23102122300 is 322120132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23102122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27142 + ... + 216658.

It is an arithmetic number, because the mean of its divisors is an integer number (740257308).

Almost surely, 223102122300 is an apocalyptic number.

23102122300 is a gapful number since it is divisible by the number (20) 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 23102122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649263088).

23102122300 is an abundant number, since it is smaller than the sum of its proper divisors (30196403876).

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

23102122300 is a wasteful number, since it uses less digits than its factorization.

23102122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189607 (or 189600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23102122300 its reverse (322120132), we get a palindrome (23424242432).

The spelling of 23102122300 in words is "twenty-three billion, one hundred two million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2300 2438 2650 4876 5300 6095 12190 24380 30475 60950 121900 189517 379034 758068 947585 1895170 3790340 4358891 4737925 8717782 9475850 10044401 17435564 18951700 20088802 21794455 40177604 43588910 50222005 87177820 100444010 108972275 200888020 217944550 231021223 251110025 435889100 462042446 502220050 924084892 1004440100 1155106115 2310212230 4620424460 5775530575 11551061150 23102122300