Search a number
-
+
101111200021 = 137777784617
BaseRepresentation
bin101111000101010110…
…0100111100100010101
3100122222121120011010001
41132022230213210111
53124033431400041
6114241055531301
710206426006466
oct1361254474425
9318877504101
10101111200021
1139976700127
1217719b29b31
1396c4ab2250
144c72876d6d
15296ba84131
hex178ab27915

101111200021 has 4 divisors (see below), whose sum is σ = 108888984652. Its totient is φ = 93333415392.

The previous prime is 101111200009. The next prime is 101111200037. The reversal of 101111200021 is 120002111101.

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 8231932900 + 92879267121 = 90730^2 + 304761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111200021 - 211 = 101111197973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111199980 and 101111200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111200061) 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 3 ways as a sum of consecutive naturals, for example, 3888892296 + ... + 3888892321.

It is an arithmetic number, because the mean of its divisors is an integer number (27222246163).

Almost surely, 2101111200021 is an apocalyptic number.

It is an amenable number.

101111200021 is a deficient number, since it is larger than the sum of its proper divisors (7777784631).

101111200021 is an equidigital number, since it uses as much as digits as its factorization.

101111200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777784630.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101111200021 its reverse (120002111101), we get a palindrome (221113311122).

The spelling of 101111200021 in words is "one hundred one billion, one hundred eleven million, two hundred thousand, twenty-one".

Divisors: 1 13 7777784617 101111200021