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120002022222101 = 1710964760940217
BaseRepresentation
bin11011010010010000100101…
…111010000010100100010101
3120201220002012020221120011022
4123102100211322002210111
5111212103120142101401
61103120100140050525
734163600656611335
oct3322204572024425
9521802166846138
10120002022222101
1135266632109648
1211561242533a45
1351c61b03849b6
14218c1b38710c5
15dd17dbe5771b
hex6d2425e82915

120002022222101 has 8 divisors (see below), whose sum is σ = 128226661631640. Its totient is φ = 111906904693248.

The previous prime is 120002022222097. The next prime is 120002022222191. The reversal of 120002022222101 is 101222220200021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33295196499601 + 86706825722500 = 5770199^2 + 9311650^2 .

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 120002022222101 - 22 = 120002022222097 is a prime.

It is a super-3 number, since 3×1200020222221013 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 120002022222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002022222191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32380468256 + ... + 32380471961.

It is an arithmetic number, because the mean of its divisors is an integer number (16028332703955).

Almost surely, 2120002022222101 is an apocalyptic number.

It is an amenable number.

120002022222101 is a deficient number, since it is larger than the sum of its proper divisors (8224639409539).

120002022222101 is a wasteful number, since it uses less digits than its factorization.

120002022222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64760940343.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120002022222101 its reverse (101222220200021), we get a palindrome (221224242422122).

The spelling of 120002022222101 in words is "one hundred twenty trillion, two billion, twenty-two million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 17 109 1853 64760940217 1100935983689 7058942483653 120002022222101