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23000011300 = 225275929439
BaseRepresentation
bin10101011010111010…
…000101001000100100
32012100220120122002101
4111122322011020210
5334101000330200
614322134021444
71442650604350
oct253272051044
965326518071
1023000011300
1198329a7a02
12455a7a7884
132227094356
1411828d2460
158e931326a
hex55ae85224

23000011300 has 108 divisors (see below), whose sum is σ = 58029341440. Its totient is φ = 7751240640.

The previous prime is 23000011249. The next prime is 23000011301. The reversal of 23000011300 is 311000032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23000011301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2431981 + ... + 2441419.

Almost surely, 223000011300 is an apocalyptic number.

23000011300 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 23000011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014670720).

23000011300 is an abundant number, since it is smaller than the sum of its proper divisors (35029330140).

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

23000011300 is a wasteful number, since it uses less digits than its factorization.

23000011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 23000011300 its reverse (311000032), we get a palindrome (23311011332).

The spelling of 23000011300 in words is "twenty-three billion, eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2950 3481 4130 5900 6962 8260 9439 10325 13924 17405 18878 20650 24367 34810 37756 41300 47195 48734 66073 69620 87025 94390 97468 121835 132146 174050 188780 235975 243670 264292 330365 348100 471950 487340 556901 609175 660730 943900 1113802 1218350 1321460 1651825 2227604 2436700 2784505 3303650 3898307 5569010 6607300 7796614 11138020 13922525 15593228 19491535 27845050 32857159 38983070 55690100 65714318 77966140 97457675 131428636 164285795 194915350 230000113 328571590 389830700 460000226 657143180 821428975 920000452 1150000565 1642857950 2300001130 3285715900 4600002260 5750002825 11500005650 23000011300