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21120240001 = 719971679803
BaseRepresentation
bin10011101010110111…
…010100100110000001
32000111220110100122011
4103222313110212001
5321223240140001
613411424012521
71345244035510
oct235267244601
960456410564
1021120240001
118a58908a03
124115161141
131cb77c4043
141044db2677
1583929dd51
hex4eadd4981

21120240001 has 32 divisors (see below), whose sum is σ = 25826088960. Its totient is φ = 16870104576.

The previous prime is 21120239977. The next prime is 21120240013. The reversal of 21120240001 is 10004202112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21120240001 - 27 = 21120239873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21120240041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2149566 + ... + 2159368.

It is an arithmetic number, because the mean of its divisors is an integer number (807065280).

Almost surely, 221120240001 is an apocalyptic number.

It is an amenable number.

21120240001 is a deficient number, since it is larger than the sum of its proper divisors (4705848959).

21120240001 is a wasteful number, since it uses less digits than its factorization.

21120240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21120240001 its reverse (10004202112), we get a palindrome (31124442113).

It can be divided in two parts, 21120 and 240001, that added together give a square (261121 = 5112).

The spelling of 21120240001 in words is "twenty-one billion, one hundred twenty million, two hundred forty thousand, one".

Divisors: 1 7 19 97 133 167 679 1169 1843 3173 9803 12901 16199 22211 68621 113393 186257 307781 950891 1303799 1637101 2154467 6656237 11459707 18066929 31104919 126468503 158798797 217734433 1111591579 3017177143 21120240001