Search a number
-
+
100222101201113 = 136528173407673
BaseRepresentation
bin10110110010011011000110…
…101111011010000011011001
3111010212010202112220120002022
4112302123012233122003121
5101114014330401413423
6553053221522144225
730052544045202023
oct2662330657320331
9433763675816068
10100222101201113
1129a2aa55385941
12b2a786aab2075
1343bcb9925b4c8
141aa6ac0299013
15b8c0181b2dc8
hex5b26c6bda0d9

100222101201113 has 4 divisors (see below), whose sum is σ = 100222175974068. Its totient is φ = 100222026428160.

The previous prime is 100222101201107. The next prime is 100222101201127. The reversal of 100222101201113 is 311102101222001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22273897347529 + 77948203853584 = 4719523^2 + 8828828^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222101201113 - 228 = 100221832765657 is a prime.

It is a super-2 number, since 2×1002221012011132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222101201091 and 100222101201100.

It is not an unprimeable number, because it can be changed into a prime (100222101201613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35338556 + ... + 38069117.

It is an arithmetic number, because the mean of its divisors is an integer number (25055543993517).

Almost surely, 2100222101201113 is an apocalyptic number.

It is an amenable number.

100222101201113 is a deficient number, since it is larger than the sum of its proper divisors (74772955).

100222101201113 is an equidigital number, since it uses as much as digits as its factorization.

100222101201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74772954.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100222101201113 its reverse (311102101222001), we get a palindrome (411324202423114).

The spelling of 100222101201113 in words is "one hundred trillion, two hundred twenty-two billion, one hundred one million, two hundred one thousand, one hundred thirteen".

Divisors: 1 1365281 73407673 100222101201113