Search a number
-
+
100022301331 = 1911251467899
BaseRepresentation
bin101110100100111001…
…0110011001010010011
3100120011201121100220221
41131021302303022103
53114321202120311
6113541041013511
710140434350651
oct1351162631223
9316151540827
10100022301331
1139467a88457
1217475324297
13958031a4b4
144babdc7dd1
152906192671
hex1749cb3293

100022301331 has 8 divisors (see below), whose sum is σ = 105296216000. Its totient is φ = 94749345000.

The previous prime is 100022301299. The next prime is 100022301361. The reversal of 100022301331 is 133103220001.

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 100022301331 - 25 = 100022301299 is a prime.

It is a super-2 number, since 2×1000223013312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022301361) 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, 20181 + ... + 447718.

It is an arithmetic number, because the mean of its divisors is an integer number (13162027000).

Almost surely, 2100022301331 is an apocalyptic number.

100022301331 is a deficient number, since it is larger than the sum of its proper divisors (5273914669).

100022301331 is a wasteful number, since it uses less digits than its factorization.

100022301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479169.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100022301331 its reverse (133103220001), we get a palindrome (233125521332).

The spelling of 100022301331 in words is "one hundred billion, twenty-two million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 19 11251 213769 467899 8890081 5264331649 100022301331