Search a number
-
+
101021222011 = 6712722675237
BaseRepresentation
bin101111000010101010…
…1011000010001111011
3100122202100020210111011
41132011111120101323
53123342413101021
6114224123214351
710204254135103
oct1360525302173
9318670223434
10101021222011
113992a934336
12176b39773b7
1396ac26a318
144c64934203
152963c0dde1
hex178555847b

101021222011 has 16 divisors (see below), whose sum is σ = 103401639936. Its totient is φ = 98667477216.

The previous prime is 101021221997. The next prime is 101021222017. The reversal of 101021222011 is 110222120101.

It is a cyclic number.

It is not a de Polignac number, because 101021222011 - 211 = 101021219963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021221982 and 101021222000.

It is not an unprimeable number, because it can be changed into a prime (101021222017) 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 15 ways as a sum of consecutive naturals, for example, 19287285 + ... + 19292521.

It is an arithmetic number, because the mean of its divisors is an integer number (6462602496).

Almost surely, 2101021222011 is an apocalyptic number.

101021222011 is a deficient number, since it is larger than the sum of its proper divisors (2380417925).

101021222011 is a wasteful number, since it uses less digits than its factorization.

101021222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021222011 its reverse (110222120101), we get a palindrome (211243342112).

The spelling of 101021222011 in words is "one hundred one billion, twenty-one million, two hundred twenty-two thousand, eleven".

Divisors: 1 67 127 2267 5237 8509 151889 287909 350879 665099 11872279 19289903 44561633 795442693 1507779433 101021222011