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23200113000 = 2335367711423
BaseRepresentation
bin10101100110110101…
…011010000101101000
32012212212002212000110
4111212311122011220
5340003212104000
614354042534320
71450630464261
oct254665320550
965785085013
1023200113000
11992594a309
1245b58073a0
132259685a1c
1411a12dd968
1590bb8c850
hex566d5a168

23200113000 has 128 divisors (see below), whose sum is σ = 72497617920. Its totient is φ = 6177017600.

The previous prime is 23200112977. The next prime is 23200113011. The reversal of 23200113000 is 31100232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2025289 + ... + 2036711.

It is an arithmetic number, because the mean of its divisors is an integer number (566387640).

Almost surely, 223200113000 is an apocalyptic number.

23200113000 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 23200113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36248808960).

23200113000 is an abundant number, since it is smaller than the sum of its proper divisors (49297504920).

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

23200113000 is a wasteful number, since it uses less digits than its factorization.

23200113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124 (or 12110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23200113000 its reverse (31100232), we get a palindrome (23231213232).

The spelling of 23200113000 in words is "twenty-three billion, two hundred million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 677 750 1000 1354 1500 2031 2708 3000 3385 4062 5416 6770 8124 10155 11423 13540 16248 16925 20310 22846 27080 33850 34269 40620 45692 50775 57115 67700 68538 81240 84625 91384 101550 114230 135400 137076 169250 171345 203100 228460 253875 274152 285575 338500 342690 406200 456920 507750 571150 677000 685380 856725 1015500 1142300 1370760 1427875 1713450 2031000 2284600 2855750 3426900 4283625 5711500 6853800 7733371 8567250 11423000 15466742 17134500 23200113 30933484 34269000 38666855 46400226 61866968 77333710 92800452 116000565 154667420 185600904 193334275 232001130 309334840 386668550 464002260 580002825 773337100 928004520 966671375 1160005650 1546674200 1933342750 2320011300 2900014125 3866685500 4640022600 5800028250 7733371000 11600056500 23200113000