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23340021100 = 225211131161971
BaseRepresentation
bin10101101111001011…
…000111010101101100
32020020121100220211221
4111233023013111230
5340300021133400
614420001353124
71454246622514
oct255713072554
966217326757
1023340021100
119997919340
1246346387a4
13227c660296
1411b5b1c844
159190c6c1a
hex56f2c756c

23340021100 has 72 divisors (see below), whose sum is σ = 55674311616. Its totient is φ = 8422440000.

The previous prime is 23340021073. The next prime is 23340021101. The reversal of 23340021100 is 112004332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23340021101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63115 + ... + 225085.

It is an arithmetic number, because the mean of its divisors is an integer number (773254328).

Almost surely, 223340021100 is an apocalyptic number.

23340021100 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 23340021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27837155808).

23340021100 is an abundant number, since it is smaller than the sum of its proper divisors (32334290516).

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

23340021100 is a wasteful number, since it uses less digits than its factorization.

23340021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162127 (or 162120 counting only the distinct ones).

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

Adding to 23340021100 its reverse (112004332), we get a palindrome (23452025432).

The spelling of 23340021100 in words is "twenty-three billion, three hundred forty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28820 36025 72050 144100 161971 323942 647884 809855 1619710 1781681 3239420 3563362 4049275 7126724 8098550 8908405 16197100 17816810 21218201 35633620 42436402 44542025 84872804 89084050 106091005 178168100 212182010 233400211 424364020 466800422 530455025 933600844 1060910050 1167001055 2121820100 2334002110 4668004220 5835005275 11670010550 23340021100