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21110111000 = 23531110119001
BaseRepresentation
bin10011101010010000…
…101011101100011000
32000111012101202020222
4103222100223230120
5321213142023000
613410422535212
71345061661056
oct235220535430
960435352228
1021110111000
118a5311a930
124111897508
131cb5688854
1410438d71d6
1583844ca85
hex4ea42bb18

21110111000 has 128 divisors (see below), whose sum is σ = 54424768320. Its totient is φ = 7600000000.

The previous prime is 21110110939. The next prime is 21110111003. The reversal of 21110111000 is 11101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110111003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101500 + ... + 1120500.

Almost surely, 221110111000 is an apocalyptic number.

21110111000 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 21110111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212384160).

21110111000 is an abundant number, since it is smaller than the sum of its proper divisors (33314657320).

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

21110111000 is a wasteful number, since it uses less digits than its factorization.

21110111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19134 (or 19120 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21110111000 its reverse (11101112), we get a palindrome (21121212112).

The spelling of 21110111000 in words is "twenty-one billion, one hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 19001 20200 22220 25250 27775 38002 44440 50500 55550 76004 95005 101000 111100 138875 152008 190010 209011 222200 277750 380020 418022 475025 555500 760040 836044 950050 1045055 1111000 1672088 1900100 1919101 2090110 2375125 3800200 3838202 4180220 4750250 5225275 7676404 8360440 9500500 9595505 10450550 15352808 19001000 19191010 20901100 21110111 26126375 38382020 41802200 42220222 47977525 52252750 76764040 84440444 95955050 104505500 105550555 168880888 191910100 209011000 211101110 239887625 383820200 422202220 479775250 527752775 844404440 959550500 1055505550 1919101000 2111011100 2638763875 4222022200 5277527750 10555055500 21110111000