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21110110120 = 2351124361593
BaseRepresentation
bin10011101010010000…
…101011011110101000
32000111012101201001101
4103222100223132220
5321213142010440
613410422531144
71345061655361
oct235220533650
960435351041
1021110110120
118a5311a200
124111896ab4
131cb5688328
1410438d6b68
1583844c69a
hex4ea42b7a8

21110110120 has 48 divisors (see below), whose sum is σ = 52208280180. Its totient is φ = 7676401920.

The previous prime is 21110110103. The next prime is 21110110139. The reversal of 21110110120 is 2101101112.

It can be written as a sum of positive squares in 2 ways, for example, as 19252672516 + 1857437604 = 138754^2 + 43098^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21110110097 and 21110110106.

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 11 ways as a sum of consecutive naturals, for example, 2175957 + ... + 2185636.

Almost surely, 221110110120 is an apocalyptic number.

21110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110110120 is an abundant number, since it is smaller than the sum of its proper divisors (31098170060).

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

21110110120 is a wasteful number, since it uses less digits than its factorization.

21110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361626 (or 4361611 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21110110120 its reverse (2101101112), we get a palindrome (23211211232).

The spelling of 21110110120 in words is "twenty-one billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 4361593 8723186 17446372 21807965 34892744 43615930 47977523 87231860 95955046 174463720 191910092 239887615 383820184 479775230 527752753 959550460 1055505506 1919100920 2111011012 2638763765 4222022024 5277527530 10555055060 21110110120