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21110000121 = 3272172815793
BaseRepresentation
bin10011101010010000…
…010000100111111001
32000111012012010011100
4103222100100213321
5321213130000441
613410420322013
71345061016600
oct235220204771
960435163140
1021110000121
118a530545a1
124111843309
131cb564a242
1410438a8a37
15838429cb6
hex4ea4109f9

21110000121 has 36 divisors (see below), whose sum is σ = 37557060372. Its totient is φ = 11353273344.

The previous prime is 21110000101. The next prime is 21110000137. The reversal of 21110000121 is 12100001112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9368110521 + 11741889600 = 96789^2 + 108360^2 .

It is not a de Polignac number, because 21110000121 - 26 = 21110000057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21110000101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1400400 + ... + 1415393.

It is an arithmetic number, because the mean of its divisors is an integer number (1043251677).

Almost surely, 221110000121 is an apocalyptic number.

21110000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21110000121 is a deficient number, since it is larger than the sum of its proper divisors (16447060251).

21110000121 is a wasteful number, since it uses less digits than its factorization.

21110000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815830 (or 2815820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21110000121 its reverse (12100001112), we get a palindrome (33210001233).

Subtracting from 21110000121 its reverse (12100001112), we obtain a palindrome (9009999009).

The spelling of 21110000121 in words is "twenty-one billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 2815793 8447379 19710551 25342137 47868481 59131653 137973857 143605443 177394959 335079367 413921571 430816329 1005238101 1241764713 2345555569 3015714303 7036666707 21110000121