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11220002211 = 3112375914159
BaseRepresentation
bin10100111001100001…
…11010010110100011
31001221221102011112110
422130300322112203
5140434310032321
65053203330403
7545020305465
oct123460722643
931857364473
1011220002211
114838442800
122211680a03
13109a696082
147861bc135
1545a04a176
hex29cc3a5a3

11220002211 has 48 divisors (see below), whose sum is σ = 17175513600. Its totient is φ = 6503618880.

The previous prime is 11220002207. The next prime is 11220002221.

11220002211 is nontrivially palindromic in base 10.

11220002211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220002211 - 22 = 11220002207 is a prime.

It is a super-2 number, since 2×112200022112 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11220002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785350 + ... + 799508.

It is an arithmetic number, because the mean of its divisors is an integer number (357823200).

Almost surely, 211220002211 is an apocalyptic number.

11220002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220002211 is a deficient number, since it is larger than the sum of its proper divisors (5955511389).

11220002211 is a wasteful number, since it uses less digits than its factorization.

11220002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14269 counting only the distinct ones).

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

It can be divided in two parts, 1122000 and 2211, that added together give a palindrome (1124211).

The spelling of 11220002211 in words is "eleven billion, two hundred twenty million, two thousand, two hundred eleven".

Divisors: 1 3 11 33 37 59 111 121 177 363 407 649 1221 1947 2183 4477 6549 7139 13431 14159 21417 24013 42477 72039 155749 264143 467247 523883 792429 835381 1571649 1713239 2506143 5139717 5762713 9189191 17288139 27567573 30909097 63389843 92727291 101081101 190169529 303243303 340000067 1020000201 3740000737 11220002211