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23212111000 = 2353138632069
BaseRepresentation
bin10101100111100011…
…001011010010011000
32012220200200102011211
4111213203023102120
5340014300023000
614355152032504
71451134455001
oct254743132230
965820612154
1023212111000
1199316a4611
1245b9832734
13225bcc6b30
1411a2b441a8
1590cc5c7ba
hex5678cb498

23212111000 has 128 divisors (see below), whose sum is σ = 58590604800. Its totient is φ = 8556556800.

The previous prime is 23212110989. The next prime is 23212111001. The reversal of 23212111000 is 11121232.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212111001) by changing a digit.

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, 11217966 + ... + 11220034.

It is an arithmetic number, because the mean of its divisors is an integer number (457739100).

Almost surely, 223212111000 is an apocalyptic number.

23212111000 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 23212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295302400).

23212111000 is an abundant number, since it is smaller than the sum of its proper divisors (35378493800).

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

23212111000 is a wasteful number, since it uses less digits than its factorization.

23212111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 23212111000 its reverse (11121232), we get a palindrome (23223232232).

The spelling of 23212111000 in words is "twenty-three billion, two hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 863 1000 1300 1625 1726 2069 2600 3250 3452 4138 4315 6500 6904 8276 8630 10345 11219 13000 16552 17260 20690 21575 22438 26897 34520 41380 43150 44876 51725 53794 56095 82760 86300 89752 103450 107588 107875 112190 134485 172600 206900 215176 215750 224380 258625 268970 280475 413800 431500 448760 517250 537940 560950 672425 863000 1034500 1075880 1121900 1344850 1402375 1785547 2069000 2243800 2689700 2804750 3362125 3571094 5379400 5609500 6724250 7142188 8927735 11219000 13448500 14284376 17855470 23212111 26897000 35710940 44638675 46424222 71421880 89277350 92848444 116060555 178554700 185696888 223193375 232121110 357109400 446386750 464242220 580302775 892773500 928484440 1160605550 1785547000 2321211100 2901513875 4642422200 5803027750 11606055500 23212111000