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2100112221 = 3172379131173
BaseRepresentation
bin111110100101101…
…0010101101011101
312102100201202101010
41331023102231131
513300112042341
6544220405433
7103020442104
oct17513225535
95370652333
102100112221
11988505439
124a73a6879
13276129c6c
1415ccb903b
15c458a716
hex7d2d2b5d

2100112221 has 64 divisors (see below), whose sum is σ = 3175096320. Its totient is φ = 1227832320.

The previous prime is 2100112213. The next prime is 2100112241. The reversal of 2100112221 is 1222110012.

It is not a de Polignac number, because 2100112221 - 23 = 2100112213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100112197 and 2100112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100112241) 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 63 ways as a sum of consecutive naturals, for example, 12139291 + ... + 12139463.

It is an arithmetic number, because the mean of its divisors is an integer number (49610880).

Almost surely, 22100112221 is an apocalyptic number.

It is an amenable number.

2100112221 is a deficient number, since it is larger than the sum of its proper divisors (1074984099).

2100112221 is a wasteful number, since it uses less digits than its factorization.

2100112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100112221 is about 45826.9813646939. The cubic root of 2100112221 is about 1280.6019753549.

Adding to 2100112221 its reverse (1222110012), we get a palindrome (3322222233).

The spelling of 2100112221 in words is "two billion, one hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 17 23 51 69 79 131 173 237 391 393 519 1173 1343 1817 2227 2941 3013 3979 4029 5451 6681 8823 9039 10349 11937 13667 22663 30889 31047 41001 51221 67643 67989 92667 153663 175933 202929 232339 238027 314341 385271 521249 527799 697017 714081 943023 1155813 1563747 1790377 4046459 5343797 5371131 8861233 12139377 16031391 26583699 30436409 41178671 91309227 123536013 700037407 2100112221