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22212011102101 = 101711533090817
BaseRepresentation
bin1010000110011101000110…
…00010000000111110010101
32220122110002020121020200121
411003032203002000332111
510402410144320231401
6115124020152511541
74451523225120232
oct503164302007625
986573066536617
1022212011102101
117094074223887
1225a8a056ab5b1
13c517783b8182
1456b0d209a789
15287bba9ecca1
hex1433a3080f95

22212011102101 has 8 divisors (see below), whose sum is σ = 22432254525144. Its totient is φ = 21991774003200.

The previous prime is 22212011102087. The next prime is 22212011102107. The reversal of 22212011102101 is 10120111021222.

It can be written as a sum of positive squares in 4 ways, for example, as 3767477118001 + 18444533984100 = 1940999^2 + 4294710^2 .

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 22212011102101 - 211 = 22212011100053 is a prime.

It is a super-2 number, since 2×222120111021012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212011102107) 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, 5641045 + ... + 8731861.

It is an arithmetic number, because the mean of its divisors is an integer number (2804031815643).

Almost surely, 222212011102101 is an apocalyptic number.

It is an amenable number.

22212011102101 is a deficient number, since it is larger than the sum of its proper divisors (220243423043).

22212011102101 is a wasteful number, since it uses less digits than its factorization.

22212011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162071.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22212011102101 its reverse (10120111021222), we get a palindrome (32332122123323).

The spelling of 22212011102101 in words is "twenty-two trillion, two hundred twelve billion, eleven million, one hundred two thousand, one hundred one".

Divisors: 1 101 71153 3090817 7186453 312172517 219920902001 22212011102101