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11120213020 = 225753228277
BaseRepresentation
bin10100101101101000…
…01111110000011100
31001200222122100111111
422112310033300130
5140233233304040
65035240431404
7542366152060
oct122664176034
931628570444
1011120213020
1147970856a4
1221a4178564
131082ac7507
14776c43aa0
154513d7dea
hex296d0fc1c

11120213020 has 72 divisors (see below), whose sum is σ = 27202531104. Its totient is φ = 3740575488.

The previous prime is 11120213017. The next prime is 11120213047. The reversal of 11120213020 is 2031202111.

11120213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111202130202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 379122 + ... + 407398.

It is an arithmetic number, because the mean of its divisors is an integer number (377812932).

Almost surely, 211120213020 is an apocalyptic number.

11120213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601265552).

11120213020 is an abundant number, since it is smaller than the sum of its proper divisors (16082318084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120213020 is a wasteful number, since it uses less digits than its factorization.

11120213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28399 (or 28344 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11120213020 its reverse (2031202111), we get a palindrome (13151415131).

The spelling of 11120213020 in words is "eleven billion, one hundred twenty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 2809 3710 5618 7420 11236 14045 19663 28090 28277 39326 56180 56554 78652 98315 113108 141385 196630 197939 282770 393260 395878 565540 791756 989695 1498681 1979390 2997362 3958780 5994724 7493405 10490767 14986810 20981534 29973620 41963068 52453835 79430093 104907670 158860186 209815340 317720372 397150465 556010651 794300930 1112021302 1588601860 2224042604 2780053255 5560106510 11120213020