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16022211101 = 1317343316453
BaseRepresentation
bin11101110101111111…
…11000101000011101
31112100121121122200222
432322333320220131
5230303141223401
611205511331125
71105021355501
oct167277705035
945317548628
1016022211101
116882136386
123131980aa5
131684561bb0
14abdcb4301
1563b931c1b
hex3baff8a1d

16022211101 has 16 divisors (see below), whose sum is σ = 17395563696. Its totient is φ = 14669392896.

The previous prime is 16022211031. The next prime is 16022211113. The reversal of 16022211101 is 10111222061.

It can be written as a sum of positive squares in 8 ways, for example, as 89208025 + 15933003076 = 9445^2 + 126226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16022211101 is a prime.

It is a super-2 number, since 2×160222111012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16022211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16022211181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965591 + ... + 982043.

It is an arithmetic number, because the mean of its divisors is an integer number (1087222731).

Almost surely, 216022211101 is an apocalyptic number.

It is an amenable number.

16022211101 is a deficient number, since it is larger than the sum of its proper divisors (1373352595).

16022211101 is a wasteful number, since it uses less digits than its factorization.

16022211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17072.

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

Adding to 16022211101 its reverse (10111222061), we get a palindrome (26133433162).

The spelling of 16022211101 in words is "sixteen billion, twenty-two million, two hundred eleven thousand, one hundred one".

Divisors: 1 13 173 433 2249 5629 16453 74909 213889 973817 2846369 7124149 37002797 92613937 1232477777 16022211101