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111022002210001 = 1714934374217021
BaseRepresentation
bin11001001111100101010011…
…000000010000010011010001
3112120002121012020000021121211
4121033211103000100103101
5104022441030031210001
61032042445334020121
732246034466130461
oct3117452300202321
9476077166007554
10111022002210001
1132414191a01113
1210550983aa7641
1349c44399b3b6c
141d5b6ca541ba1
15cc7e0c892351
hex64f9530104d1

111022002210001 has 8 divisors (see below), whose sum is σ = 117631444155624. Its totient is φ = 104421308701440.

The previous prime is 111022002209959. The next prime is 111022002210011. The reversal of 111022002210001 is 100012200220111.

It can be written as a sum of positive squares in 4 ways, for example, as 19934447969601 + 91087554240400 = 4464801^2 + 9543980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111022002210001 - 217 = 111022002078929 is a prime.

It is a super-3 number, since 3×1110220022100013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111022002210011) 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 7 ways as a sum of consecutive naturals, for example, 2187083130 + ... + 2187133891.

It is an arithmetic number, because the mean of its divisors is an integer number (14703930519453).

Almost surely, 2111022002210001 is an apocalyptic number.

It is an amenable number.

111022002210001 is a deficient number, since it is larger than the sum of its proper divisors (6609441945623).

111022002210001 is a wasteful number, since it uses less digits than its factorization.

111022002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374218531.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111022002210001 its reverse (100012200220111), we get a palindrome (211034202430112).

The spelling of 111022002210001 in words is "one hundred eleven trillion, twenty-two billion, two million, two hundred ten thousand, one".

Divisors: 1 17 1493 25381 4374217021 74361689357 6530706012353 111022002210001