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222121110313011 = 37213376746887019
BaseRepresentation
bin110010100000010010011001…
…111000001001100000110011
31002010110120102002100202210210
4302200102121320021200303
5213103213013220004021
62104225010202555203
764533502115455200
oct6240223170114063
91063416362322723
10222121110313011
11648580410a4948
1220ab4686508b03
1396c2c14043190
143cbca0d2dcca7
151aa2d2e5c9e76
hexca0499e09833

222121110313011 has 96 divisors (see below), whose sum is σ = 386730142498560. Its totient is φ = 112294783206144.

The previous prime is 222121110312977. The next prime is 222121110313079. The reversal of 222121110313011 is 110313011121222.

It is not a de Polignac number, because 222121110313011 - 231 = 222118962829363 is a prime.

It is a super-2 number, since 2×2221211103130112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (222121110313111) 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 95 ways as a sum of consecutive naturals, for example, 18706141 + ... + 28180878.

It is an arithmetic number, because the mean of its divisors is an integer number (4028438984360).

Almost surely, 2222121110313011 is an apocalyptic number.

222121110313011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

222121110313011 is a deficient number, since it is larger than the sum of its proper divisors (164609032185549).

222121110313011 is a wasteful number, since it uses less digits than its factorization.

222121110313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46887153 (or 46887146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 222121110313011 its reverse (110313011121222), we get a palindrome (332434121434233).

The spelling of 222121110313011 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred ten million, three hundred thirteen thousand, eleven".

Divisors: 1 3 7 13 21 37 39 49 67 91 111 147 201 259 273 469 481 637 777 871 1407 1443 1813 1911 2479 2613 3283 3367 5439 6097 7437 9849 10101 17353 18291 23569 32227 42679 52059 70707 96681 121471 128037 225589 364413 676767 1579123 4737369 46887019 140661057 328209133 609531247 984627399 1734819703 1828593741 2297463931 3141430273 4266718729 5204459109 6892391793 9424290819 12143737921 12800156187 21990011911 22552656139 29867031103 36431213763 40838593549 65970035733 67657968417 85006165447 89601093309 116232920101 122515780647 153930083377 157868592973 255018496341 285870154843 348698760303 461790250131 473605778919 813630440707 857610464529 1105080150811 1511027961313 2001091083901 2440891322121 3315240452433 4533083883939 5695413084949 6003273251703 10577195729191 17086239254847 31731587187573 74040370104337 222121110313011