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23133020300 = 225213175032081
BaseRepresentation
bin10101100010110101…
…011110000010001100
32012201011212012010122
4111202311132002030
5334334023122200
614343244524112
71446154266605
oct254265360214
965634765118
1023133020300
1198a0a945a5
124597250638
1322487c45c0
141196436dac
15905d38385
hex562d5e08c

23133020300 has 144 divisors (see below), whose sum is σ = 57381452352. Its totient is φ = 8019148800.

The previous prime is 23133020299. The next prime is 23133020311. The reversal of 23133020300 is 302033132.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11115260 + ... + 11117340.

It is an arithmetic number, because the mean of its divisors is an integer number (398482308).

Almost surely, 223133020300 is an apocalyptic number.

23133020300 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 23133020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690726176).

23133020300 is an abundant number, since it is smaller than the sum of its proper divisors (34248432052).

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

23133020300 is a wasteful number, since it uses less digits than its factorization.

23133020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 23133020300 its reverse (302033132), we get a palindrome (23435053432).

The spelling of 23133020300 in words is "twenty-three billion, one hundred thirty-three million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 503 650 850 884 1006 1105 1300 1700 2012 2081 2210 2515 4162 4420 5030 5525 6539 8324 8551 10060 10405 11050 12575 13078 17102 20810 22100 25150 26156 27053 32695 34204 35377 41620 42755 50300 52025 54106 65390 70754 85510 104050 108212 111163 130780 135265 141508 163475 171020 176885 208100 213775 222326 270530 326950 353770 427550 444652 459901 541060 555815 653900 676325 707540 855100 884425 919802 1046743 1111630 1352650 1768850 1839604 2093486 2223260 2299505 2705300 2779075 3537700 4186972 4599010 5233715 5558150 9198020 10467430 11116300 11497525 13607659 17794631 20934860 22995050 26168575 27215318 35589262 45990100 52337150 54430636 68038295 71178524 88973155 104674300 136076590 177946310 231330203 272153180 340191475 355892620 444865775 462660406 680382950 889731550 925320812 1156651015 1360765900 1779463100 2313302030 4626604060 5783255075 11566510150 23133020300