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10122010011 = 321979749279
BaseRepresentation
bin10010110110101000…
…11001110110011011
3222010102100101101200
421123110121312123
5131212213310021
64352221445243
7505555444161
oct113324316633
928112311350
1010122010011
114324679a33
121b65a10823
13c54069249
146c0443231
153e395e126
hex25b519d9b

10122010011 has 24 divisors (see below), whose sum is σ = 15585024000. Its totient is φ = 6311917872.

The previous prime is 10122010007. The next prime is 10122010057. The reversal of 10122010011 is 11001022101.

It is a happy number.

It is not a de Polignac number, because 10122010011 - 22 = 10122010007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10122009975 and 10122010002.

It is not an unprimeable number, because it can be changed into a prime (10122010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361131 + ... + 388148.

It is an arithmetic number, because the mean of its divisors is an integer number (649376000).

Almost surely, 210122010011 is an apocalyptic number.

10122010011 is a deficient number, since it is larger than the sum of its proper divisors (5463013989).

10122010011 is a wasteful number, since it uses less digits than its factorization.

10122010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749383 (or 749380 counting only the distinct ones).

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

Adding to 10122010011 its reverse (11001022101), we get a palindrome (21123032112).

The spelling of 10122010011 in words is "ten billion, one hundred twenty-two million, ten thousand, eleven".

Divisors: 1 3 9 19 57 79 171 237 711 1501 4503 13509 749279 2247837 6743511 14236301 42708903 59193041 128126709 177579123 532737369 1124667779 3374003337 10122010011