Search a number
-
+
23231301100 = 2252741809453
BaseRepresentation
bin10101101000101100…
…011000010111101100
32012222000210101001021
4111220230120113230
5340034203113400
614401115223524
71451456541550
oct255054302754
965860711037
1023231301100
1199415113a7
124604147ba4
132262c85717
1411a54db860
1590e79d71a
hex568b185ec

23231301100 has 72 divisors (see below), whose sum is σ = 59018910048. Its totient is φ = 7770739200.

The previous prime is 23231301097. The next prime is 23231301113. The reversal of 23231301100 is 110313232.

It is a super-3 number, since 3×232313011003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 376027 + ... + 433426.

It is an arithmetic number, because the mean of its divisors is an integer number (819707084).

Almost surely, 223231301100 is an apocalyptic number.

23231301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231301100 is an abundant number, since it is smaller than the sum of its proper divisors (35787608948).

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

23231301100 is a wasteful number, since it uses less digits than its factorization.

23231301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809515 (or 809508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23231301100 its reverse (110313232), we get a palindrome (23341614332).

The spelling of 23231301100 in words is "twenty-three billion, two hundred thirty-one million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 809453 1618906 3237812 4047265 5666171 8094530 11332342 16189060 20236325 22664684 28330855 33187573 40472650 56661710 66375146 80945300 113323420 132750292 141654275 165937865 232313011 283308550 331875730 464626022 566617100 663751460 829689325 929252044 1161565055 1659378650 2323130110 3318757300 4646260220 5807825275 11615650550 23231301100