Search a number
-
+
23304031300 = 22521126131573
BaseRepresentation
bin10101101101000001…
…110100110001000100
32020011002122110010101
4111231001310301010
5340211313000200
614412234133444
71453331666134
oct255501646104
966132573111
1023304031300
119979577700
124624581284
13227506bb44
1411b1030ac4
15915d6826a
hex56d074c44

23304031300 has 108 divisors (see below), whose sum is σ = 56497947268. Its totient is φ = 8335008000.

The previous prime is 23304031277. The next prime is 23304031313. The reversal of 23304031300 is 313040332.

It can be written as a sum of positive squares in 6 ways, for example, as 4866736644 + 18437294656 = 69762^2 + 135784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 722314 + ... + 753886.

Almost surely, 223304031300 is an apocalyptic number.

23304031300 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 23304031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28248973634).

23304031300 is an abundant number, since it is smaller than the sum of its proper divisors (33193915968).

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

23304031300 is a wasteful number, since it uses less digits than its factorization.

23304031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31670 (or 31652 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23304031300 its reverse (313040332), we get a palindrome (23617071632).

The spelling of 23304031300 in words is "twenty-three billion, three hundred four million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 484 550 605 610 671 1100 1210 1220 1342 1525 2420 2684 3025 3050 3355 6050 6100 6710 7381 12100 13420 14762 16775 29524 31573 33550 36905 63146 67100 73810 126292 147620 157865 184525 315730 347303 369050 631460 694606 738100 789325 1389212 1578650 1736515 1925953 3157300 3473030 3820333 3851906 6946060 7640666 7703812 8682575 9629765 15281332 17365150 19101665 19259530 21185483 34730300 38203330 38519060 42370966 48148825 76406660 84741932 95508325 96297650 105927415 191016650 192595300 211854830 233040313 382033300 423709660 466080626 529637075 932161252 1059274150 1165201565 2118548300 2330403130 4660806260 5826007825 11652015650 23304031300