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11122110020 = 22571395211097
BaseRepresentation
bin10100101101110110…
…11110111001000100
31001201010012201200202
422112323132321010
5140234230010040
65035345230032
7542421242510
oct122673367104
931633181622
1011122110020
11479816096a
1221a4932318
13108330cab8
147771b9140
15451660015
hex296edee44

11122110020 has 96 divisors (see below), whose sum is σ = 26961258240. Its totient is φ = 3775150080.

The previous prime is 11122110019. The next prime is 11122110029. The reversal of 11122110020 is 2001122111.

It is a junction number, because it is equal to n+sod(n) for n = 11122109983 and 11122110010.

It is not an unprimeable number, because it can be changed into a prime (11122110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10138112 + ... + 10139208.

It is an arithmetic number, because the mean of its divisors is an integer number (280846440).

Almost surely, 211122110020 is an apocalyptic number.

11122110020 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 11122110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480629120).

11122110020 is an abundant number, since it is smaller than the sum of its proper divisors (15839148220).

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

11122110020 is a wasteful number, since it uses less digits than its factorization.

11122110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122110020 its reverse (2001122111), we get a palindrome (13123232131).

The spelling of 11122110020 in words is "eleven billion, one hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 521 556 695 973 1042 1097 1390 1946 2084 2194 2605 2780 3647 3892 4388 4865 5210 5485 7294 7679 9730 10420 10970 14588 15358 18235 19460 21940 30716 36470 38395 72419 72940 76790 144838 152483 153580 289676 304966 362095 506933 571537 609932 724190 762415 1013866 1067381 1143074 1448380 1524830 2027732 2134762 2286148 2534665 2857685 3049660 4000759 4269524 5069330 5336905 5715370 8001518 10138660 10673810 11430740 16003036 20003795 21347620 40007590 79443643 80015180 158887286 317774572 397218215 556105501 794436430 1112211002 1588872860 2224422004 2780527505 5561055010 11122110020