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23211211100 = 22527114173523
BaseRepresentation
bin10101100111011111…
…101111100101011100
32012220121222200202012
4111213133233211130
5340014032223400
614355120450352
71451124016250
oct254737574534
965817880665
1023211211100
11993113a4a0
1245b94799b8
13225ba7034c
1411a298c260
1590cb30d35
hex5677ef95c

23211211100 has 144 divisors (see below), whose sum is σ = 64329382656. Its totient is φ = 7058112000.

The previous prime is 23211211099. The next prime is 23211211109. The reversal of 23211211100 is 111211232.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278939 + ... + 352461.

It is an arithmetic number, because the mean of its divisors is an integer number (446731824).

Almost surely, 223211211100 is an apocalyptic number.

23211211100 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 23211211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32164691328).

23211211100 is an abundant number, since it is smaller than the sum of its proper divisors (41118171556).

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

23211211100 is a wasteful number, since it uses less digits than its factorization.

23211211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73596 (or 73589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 23211211100 its reverse (111211232), we get a palindrome (23322422332).

The spelling of 23211211100 in words is "twenty-three billion, two hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 77 82 100 110 140 154 164 175 205 220 275 287 308 350 385 410 451 550 574 700 770 820 902 1025 1100 1148 1435 1540 1804 1925 2050 2255 2870 3157 3850 4100 4510 5740 6314 7175 7700 9020 11275 12628 14350 15785 22550 28700 31570 45100 63140 73523 78925 147046 157850 294092 315700 367615 514661 735230 808753 1029322 1470460 1617506 1838075 2058644 2573305 3014443 3235012 3676150 4043765 5146610 5661271 6028886 7352300 8087530 10293220 11322542 12057772 12866525 15072215 16175060 20218825 21101101 22645084 25733050 28306355 30144430 33158873 40437650 42202202 51466100 56612710 60288860 66317746 75361075 80875300 84404404 105505505 113225420 132635492 141531775 150722150 165794365 211011010 232112111 283063550 301444300 331588730 422022020 464224222 527527525 566127100 663177460 828971825 928448444 1055055050 1160560555 1657943650 2110110100 2321121110 3315887300 4642242220 5802802775 11605605550 23211211100