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23113311100 = 225211273137191
BaseRepresentation
bin10101100001101010…
…010010001101111100
32012122210202212012021
4111201222102031330
5334314001423400
614341302245524
71445524621435
oct254152221574
965583685167
1023113311100
119890952800
1245907268a4
1322446b3659
14119398648c
1590424371a
hex561a9237c

23113311100 has 216 divisors, whose sum is σ = 56587878144. Its totient is φ = 8186112000.

The previous prime is 23113311073. The next prime is 23113311101. The reversal of 23113311100 is 111331132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113311101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 121012005 + ... + 121012195.

Almost surely, 223113311100 is an apocalyptic number.

23113311100 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 23113311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28293939072).

23113311100 is an abundant number, since it is smaller than the sum of its proper divisors (33474567044).

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

23113311100 is a wasteful number, since it uses less digits than its factorization.

23113311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 23113311100 its reverse (111331132), we get a palindrome (23224642232).

It can be divided in two parts, 231 and 13311100, that added together give a palindrome (13311331).

The spelling of 23113311100 in words is "twenty-three billion, one hundred thirteen million, three hundred eleven thousand, one hundred".