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2002222313311 = 1123181409106903
BaseRepresentation
bin11101001000101101101…
…111111110111101011111
321002102002022112001201111
4131020231233332331133
5230301022403011221
64131450324522451
7264440635566433
oct35105557767537
97072068461644
102002222313311
11702157330760
12284064250427
13116a68aa906c
146cc9da989c3
1537138155be1
hex1d22dbfef5f

2002222313311 has 32 divisors (see below), whose sum is σ = 2297426826240. Its totient is φ = 1727194233600.

The previous prime is 2002222313303. The next prime is 2002222313321. The reversal of 2002222313311 is 1133132222002.

It is not a de Polignac number, because 2002222313311 - 23 = 2002222313303 is a prime.

It is a super-3 number, since 3×20022223133113 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002222313321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18675886 + ... + 18782788.

It is an arithmetic number, because the mean of its divisors is an integer number (71794588320).

Almost surely, 22002222313311 is an apocalyptic number.

2002222313311 is a deficient number, since it is larger than the sum of its proper divisors (295204512929).

2002222313311 is a wasteful number, since it uses less digits than its factorization.

2002222313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107527.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2002222313311 its reverse (1133132222002), we get a palindrome (3135354535313).

The spelling of 2002222313311 in words is "two trillion, two billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 11 23 181 253 409 1991 4163 4499 9407 45793 74029 103477 106903 814319 1175933 1702667 2458769 18729337 19349443 27046459 43723327 212843873 445037189 480956597 1005636521 4895409079 7913922187 11062001731 87053144057 182020210301 2002222313311