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21112777000 = 235372430873
BaseRepresentation
bin10011101010011010…
…110110100100101000
32000111101102012022201
4103222122312210220
5321214332331000
613411000025544
71345123433500
oct235232664450
960441365281
1021112777000
118a54680937
1241127622b4
131cb60b0173
141043dcca00
158387c796a
hex4ea6b6928

21112777000 has 96 divisors (see below), whose sum is σ = 57469974120. Its totient is φ = 7238649600.

The previous prime is 21112776977. The next prime is 21112777019. The reversal of 21112777000 is 77721112.

It can be written as a sum of positive squares in 4 ways, for example, as 10078955236 + 11033821764 = 100394^2 + 105042^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21112777000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166437 + ... + 264436.

Almost surely, 221112777000 is an apocalyptic number.

21112777000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112777000 is an abundant number, since it is smaller than the sum of its proper divisors (36357197120).

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

21112777000 is a wasteful number, since it uses less digits than its factorization.

21112777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430908 (or 430887 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 28.

The spelling of 21112777000 in words is "twenty-one billion, one hundred twelve million, seven hundred seventy-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 430873 861746 1723492 2154365 3016111 3446984 4308730 6032222 8617460 10771825 12064444 15080555 17234920 21112777 21543650 24128888 30161110 42225554 43087300 53859125 60322220 75402775 84451108 86174600 105563885 107718250 120644440 150805550 168902216 211127770 215436500 301611100 377013875 422255540 430873000 527819425 603222200 754027750 844511080 1055638850 1508055500 2111277700 2639097125 3016111000 4222555400 5278194250 10556388500 21112777000