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23340113000 = 2353191996173
BaseRepresentation
bin10101101111001011…
…011101110001101000
32020020121112120220122
4111233023131301220
5340300032104000
614420003342412
71454250454451
oct255713356150
966217476818
1023340113000
119997981396
124634681a08
13227c693069
1411b5b44128
159190e4085
hex56f2ddc68

23340113000 has 128 divisors (see below), whose sum is σ = 57788640000. Its totient is φ = 8798803200.

The previous prime is 23340112973. The next prime is 23340113011. The reversal of 23340113000 is 31104332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23340113000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3777914 + ... + 3784086.

It is an arithmetic number, because the mean of its divisors is an integer number (451473750).

Almost surely, 223340113000 is an apocalyptic number.

23340113000 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 23340113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320000).

23340113000 is an abundant number, since it is smaller than the sum of its proper divisors (34448527000).

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

23340113000 is a wasteful number, since it uses less digits than its factorization.

23340113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23340113000 its reverse (31104332), we get a palindrome (23371217332).

The spelling of 23340113000 in words is "twenty-three billion, three hundred forty million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 199 200 250 380 398 475 500 760 796 950 995 1000 1592 1900 1990 2375 3781 3800 3980 4750 4975 6173 7562 7960 9500 9950 12346 15124 18905 19000 19900 24692 24875 30248 30865 37810 39800 49384 49750 61730 75620 94525 99500 117287 123460 151240 154325 189050 199000 234574 246920 308650 378100 469148 472625 586435 617300 756200 771625 938296 945250 1172870 1228427 1234600 1543250 1890500 2345740 2456854 2932175 3086500 3781000 4691480 4913708 5864350 6142135 6173000 9827416 11728700 12284270 14660875 23340113 23457400 24568540 29321750 30710675 46680226 49137080 58643500 61421350 93360452 116700565 117287000 122842700 153553375 186720904 233401130 245685400 307106750 466802260 583502825 614213500 933604520 1167005650 1228427000 2334011300 2917514125 4668022600 5835028250 11670056500 23340113000