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23001411200 = 27527187941
BaseRepresentation
bin10101011010111111…
…011010111010000000
32012101000012202101112
4111122333122322000
5334101330124300
614322224022452
71442665524605
oct253277327200
965330182345
1023001411200
119833773749
12455b161a28
1322274645b1
141182b786ac
158e94dce35
hex55afdae80

23001411200 has 48 divisors (see below), whose sum is σ = 56820681510. Its totient is φ = 9200563200.

The previous prime is 23001411197. The next prime is 23001411227. The reversal of 23001411200 is 211410032.

It can be written as a sum of positive squares in 3 ways, for example, as 18091326016 + 4910085184 = 134504^2 + 70072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3590771 + ... + 3597170.

Almost surely, 223001411200 is an apocalyptic number.

23001411200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001411200 is an abundant number, since it is smaller than the sum of its proper divisors (33819270310).

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

23001411200 is an equidigital number, since it uses as much as digits as its factorization.

23001411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187965 (or 7187948 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23001411200 its reverse (211410032), we get a palindrome (23212821232).

The spelling of 23001411200 in words is "twenty-three billion, one million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 7187941 14375882 28751764 35939705 57503528 71879410 115007056 143758820 179698525 230014112 287517640 359397050 460028224 575035280 718794100 920056448 1150070560 1437588200 2300141120 2875176400 4600282240 5750352800 11500705600 23001411200