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23133121300 = 225219137181491
BaseRepresentation
bin10101100010110101…
…110110101100010100
32012201012001022200101
4111202311312230110
5334334034340200
614343251023444
71446155200222
oct254265665424
965635038611
1023133121300
1198a1053473
12459729ab84
13224882b573
141196461b12
15905d5826a
hex562d76b14

23133121300 has 144 divisors (see below), whose sum is σ = 53629692480. Its totient is φ = 8636544000.

The previous prime is 23133121261. The next prime is 23133121301. The reversal of 23133121300 is 312133132.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47114055 + ... + 47114545.

It is an arithmetic number, because the mean of its divisors is an integer number (372428420).

Almost surely, 223133121300 is an apocalyptic number.

23133121300 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 23133121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814846240).

23133121300 is an abundant number, since it is smaller than the sum of its proper divisors (30496571180).

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

23133121300 is a wasteful number, since it uses less digits than its factorization.

23133121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23133121300 its reverse (312133132), we get a palindrome (23445254432).

The spelling of 23133121300 in words is "twenty-three billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 137 181 190 274 362 380 475 491 548 685 724 905 950 982 1370 1810 1900 1964 2455 2603 2740 3425 3439 3620 4525 4910 5206 6850 6878 9050 9329 9820 10412 12275 13015 13700 13756 17195 18100 18658 24550 24797 26030 34390 37316 46645 49100 49594 52060 65075 67267 68780 85975 88871 93290 99188 123985 130150 134534 171950 177742 186580 233225 247970 260300 269068 336335 343900 355484 444355 466450 471143 495940 619925 672670 888710 932900 942286 1239850 1278073 1345340 1681675 1688549 1777420 1884572 2221775 2355715 2479700 2556146 3363350 3377098 4443550 4711430 5112292 6390365 6726700 6754196 8442745 8887100 9422860 11778575 12175327 12780730 16885490 23557150 24350654 25561460 31951825 33770980 42213725 47114300 48701308 60876635 63903650 84427450 121753270 127807300 168854900 231331213 243506540 304383175 462662426 608766350 925324852 1156656065 1217532700 2313312130 4626624260 5783280325 11566560650 23133121300