Search a number
-
+
122029920221 = 11103107705137
BaseRepresentation
bin111000110100110001…
…1001100111111011101
3102122222110211020112212
41301221203030333131
53444404124421341
6132020524410205
711550005131106
oct1615143147735
9378873736485
10122029920221
1147830788240
121b7976a6965
13b6799092b1
145c98b8d3ad
1532932c85eb
hex1c698ccfdd

122029920221 has 8 divisors (see below), whose sum is σ = 134416012224. Its totient is φ = 109859238720.

The previous prime is 122029920193. The next prime is 122029920227.

It is a happy number.

122029920221 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2k-122029920221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122029920227) 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, 53851436 + ... + 53853701.

It is an arithmetic number, because the mean of its divisors is an integer number (16802001528).

Almost surely, 2122029920221 is an apocalyptic number.

122029920221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122029920221 is a deficient number, since it is larger than the sum of its proper divisors (12386092003).

122029920221 is a wasteful number, since it uses less digits than its factorization.

122029920221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107705251.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 122029920221 in words is "one hundred twenty-two billion, twenty-nine million, nine hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 103 1133 107705137 1184756507 11093629111 122029920221