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11122021020 = 223511101166847
BaseRepresentation
bin10100101101110110…
…01001001010011100
31001201010001012121110
422112323021022130
5140234214133040
65035343302020
7542420422155
oct122673111234
931633035543
1011122021020
114798100010
1221a48aa910
1310832ab436
1477719492c
15451643980
hex296ec929c

11122021020 has 96 divisors (see below), whose sum is σ = 34309287936. Its totient is φ = 2669536000.

The previous prime is 11122021003. The next prime is 11122021021. The reversal of 11122021020 is 2012022111.

11122021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11122020987 and 11122021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122021021) 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, 16764 + ... + 150083.

It is an arithmetic number, because the mean of its divisors is an integer number (357388416).

Almost surely, 211122021020 is an apocalyptic number.

11122021020 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 11122021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154643968).

11122021020 is an abundant number, since it is smaller than the sum of its proper divisors (23187266916).

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

11122021020 is a wasteful number, since it uses less digits than its factorization.

11122021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166971 (or 166969 counting only the distinct ones).

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

Adding to 11122021020 its reverse (2012022111), we get a palindrome (13134043131).

The spelling of 11122021020 in words is "eleven billion, one hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 166847 333694 500541 667388 834235 1001082 1668470 1835317 2002164 2502705 3336940 3670634 5005410 5505951 7341268 9176585 10010820 11011902 16851547 18353170 22023804 27529755 33703094 36706340 50554641 55059510 67406188 84257735 101109282 110119020 168515470 185367017 202218564 252773205 337030940 370734034 505546410 556101051 741468068 926835085 1011092820 1112202102 1853670170 2224404204 2780505255 3707340340 5561010510 11122021020