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110001210021 = 3217977411981
BaseRepresentation
bin110011001110010010…
…1010100001010100101
3101111221011200110012200
41212130211110022211
53300240302210041
6122311151405113
710642634600133
oct1463445241245
9344834613180
10110001210021
11427188a722a
121939b223799
13a4b08318b1
14547741a753
152cdc2861b6
hex199c9542a5

110001210021 has 24 divisors (see below), whose sum is σ = 169971571224. Its totient is φ = 68308807680.

The previous prime is 110001210013. The next prime is 110001210029. The reversal of 110001210021 is 120012100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110001210013) and next prime (110001210029).

It can be written as a sum of positive squares in 4 ways, for example, as 15284376900 + 94716833121 = 123630^2 + 307761^2 .

It is not a de Polignac number, because 110001210021 - 23 = 110001210013 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 = 110001209985 and 110001210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001210029) 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 23 ways as a sum of consecutive naturals, for example, 3691150 + ... + 3720831.

It is an arithmetic number, because the mean of its divisors is an integer number (7082148801).

Almost surely, 2110001210021 is an apocalyptic number.

It is an amenable number.

110001210021 is a deficient number, since it is larger than the sum of its proper divisors (59970361203).

110001210021 is a wasteful number, since it uses less digits than its factorization.

110001210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412101 (or 7412098 counting only the distinct ones).

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

Adding to 110001210021 its reverse (120012100011), we get a palindrome (230013310032).

The spelling of 110001210021 in words is "one hundred ten billion, one million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 17 51 97 153 291 873 1649 4947 14841 7411981 22235943 66707829 126003677 378011031 718962157 1134033093 2156886471 6470659413 12222356669 36667070007 110001210021