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10011221332211 = 1117307174384179
BaseRepresentation
bin1001000110101110101101…
…0010101001000011110011
31022110001201020010222210002
42101223223102221003303
52303010440130112321
633143031441100215
72052200253162461
oct221535322510363
938401636128702
1010011221332211
11320a80a4a4aa0
1211582a992766b
13578091b98a78
1426878d575831
1512563515220b
hex91aeb4a90f3

10011221332211 has 16 divisors (see below), whose sum is σ = 11601430727040. Its totient is φ = 8537849354880.

The previous prime is 10011221332201. The next prime is 10011221332237. The reversal of 10011221332211 is 11223312211001.

10011221332211 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 10011221332211 - 226 = 10011154223347 is a prime.

It is a super-2 number, since 2×100112213322112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011221332201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87134681 + ... + 87249498.

It is an arithmetic number, because the mean of its divisors is an integer number (725089420440).

Almost surely, 210011221332211 is an apocalyptic number.

10011221332211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011221332211 is a deficient number, since it is larger than the sum of its proper divisors (1590209394829).

10011221332211 is a wasteful number, since it uses less digits than its factorization.

10011221332211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174384514.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10011221332211 its reverse (11223312211001), we get a palindrome (21234533543212).

The spelling of 10011221332211 in words is "ten trillion, eleven billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred eleven".

Divisors: 1 11 17 187 307 3377 5219 57409 174384179 1918225969 2964531043 32609841473 53535942953 588895372483 910111030201 10011221332211