Search a number
-
+
23312113500 = 2235313291961
BaseRepresentation
bin10101101101100000…
…101001111101011100
32020011122212001211010
4111231200221331130
5340220400113000
614413123255220
71453460460324
oct255540517534
966148761733
1023312113500
119983097a05
12462721a510
13227693b800
1411b2136284
15916912d50
hex56d829f5c

23312113500 has 144 divisors (see below), whose sum is σ = 73509272928. Its totient is φ = 5738304000.

The previous prime is 23312113493. The next prime is 23312113511. The reversal of 23312113500 is 531121332.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 207520 + ... + 299480.

It is an arithmetic number, because the mean of its divisors is an integer number (510481062).

Almost surely, 223312113500 is an apocalyptic number.

23312113500 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 23312113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36754636464).

23312113500 is an abundant number, since it is smaller than the sum of its proper divisors (50197159428).

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

23312113500 is a wasteful number, since it uses less digits than its factorization.

23312113500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92009 (or 91984 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 23312113500 its reverse (531121332), we get a palindrome (23843234832).

The spelling of 23312113500 in words is "twenty-three billion, three hundred twelve million, one hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 169 195 250 260 300 325 338 375 390 500 507 650 676 750 780 845 975 1014 1300 1500 1625 1690 1950 2028 2535 3250 3380 3900 4225 4875 5070 6500 8450 9750 10140 12675 16900 19500 21125 25350 42250 50700 63375 84500 91961 126750 183922 253500 275883 367844 459805 551766 919610 1103532 1195493 1379415 1839220 2299025 2390986 2758830 3586479 4598050 4781972 5517660 5977465 6897075 7172958 9196100 11495125 11954930 13794150 14345916 15541409 17932395 22990250 23909860 27588300 29887325 31082818 34485375 35864790 45980500 46624227 59774650 62165636 68970750 71729580 77707045 89661975 93248454 119549300 137941500 149436625 155414090 179323950 186496908 233121135 298873250 310828180 358647900 388535225 448309875 466242270 597746500 777070450 896619750 932484540 1165605675 1554140900 1793239500 1942676125 2331211350 3885352250 4662422700 5828028375 7770704500 11656056750 23312113500