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110021011001 = 11317313732261
BaseRepresentation
bin110011001110111000…
…0110110011000111001
3101111222112221110001022
41212131300312120321
53300310334323001
6122313140032225
710643265110006
oct1463560663071
9344875843038
10110021011001
1142728aa0a80
12193a5992675
13a4b4975555
145479cd28ad
152cddd9811b
hex199dc36639

110021011001 has 32 divisors (see below), whose sum is σ = 126512464896. Its totient is φ = 94766976000.

The previous prime is 110021010997. The next prime is 110021011027. The reversal of 110021011001 is 100110120011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110021011001 - 22 = 110021010997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110021011001.

It is not an unprimeable number, because it can be changed into a prime (110021011801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394211 + ... + 3426471.

It is an arithmetic number, because the mean of its divisors is an integer number (3953514528).

Almost surely, 2110021011001 is an apocalyptic number.

110021011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110021011001 is a deficient number, since it is larger than the sum of its proper divisors (16491453895).

110021011001 is a wasteful number, since it uses less digits than its factorization.

110021011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32513.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110021011001 its reverse (100110120011), we get a palindrome (210131131012).

The spelling of 110021011001 in words is "one hundred ten billion, twenty-one million, eleven thousand, one".

Divisors: 1 11 31 73 137 341 803 1507 2263 4247 10001 24893 32261 46717 110011 310031 354871 1000091 2355053 3410341 4419757 11001001 25905583 48617327 73006643 137012467 322642261 803073073 1507137137 3549064871 10001910091 110021011001