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11220211331 = 729314143487
BaseRepresentation
bin10100111001100011…
…01101011010000011
31001221221210210101122
422130301231122003
5140434333230311
65053212022455
7545022136250
oct123461553203
931857723348
1011220211331
11483857592a
122211761a2b
13109a73a304
14786234427
1545a08c0db
hex29cc6d683

11220211331 has 32 divisors (see below), whose sum is σ = 14027489280. Its totient is φ = 8766777600.

The previous prime is 11220211297. The next prime is 11220211337. The reversal of 11220211331 is 13311202211.

11220211331 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 11220211331 - 26 = 11220211267 is a prime.

It is a super-2 number, since 2×112202113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220211337) 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 31 ways as a sum of consecutive naturals, for example, 236270 + ... + 279756.

It is an arithmetic number, because the mean of its divisors is an integer number (438359040).

Almost surely, 211220211331 is an apocalyptic number.

11220211331 is a deficient number, since it is larger than the sum of its proper divisors (2807277949).

11220211331 is a wasteful number, since it uses less digits than its factorization.

11220211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43595.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11220211331 its reverse (13311202211), we get a palindrome (24531413542).

The spelling of 11220211331 in words is "eleven billion, two hundred twenty million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 29 31 41 203 217 287 899 1189 1271 6293 8323 8897 36859 43487 258013 304409 1261123 1348097 1782967 8827861 9436679 12480769 39094813 51706043 55271977 273663691 361942301 386903839 1602887333 11220211331