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11120020110 = 23251713753051
BaseRepresentation
bin10100101101100111…
…00000101010001110
31001200222021112212200
422112303200222032
5140233211120420
65035232342330
7542364416463
oct122663405216
931628245780
1011120020110
114796a63771
1221a40a49a6
131082a5a774
14776bd366a
1545139ab90
hex296ce0a8e

11120020110 has 96 divisors (see below), whose sum is σ = 30836793312. Its totient is φ = 2770483200.

The previous prime is 11120020099. The next prime is 11120020111. The reversal of 11120020110 is 1102002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11120020092 and 11120020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120020111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183085 + ... + 236135.

It is an arithmetic number, because the mean of its divisors is an integer number (321216597).

Almost surely, 211120020110 is an apocalyptic number.

11120020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418396656).

11120020110 is an abundant number, since it is smaller than the sum of its proper divisors (19716773202).

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

11120020110 is a wasteful number, since it uses less digits than its factorization.

11120020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53218 (or 53215 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120020110 its reverse (1102002111), we get a palindrome (12222022221).

The spelling of 11120020110 in words is "eleven billion, one hundred twenty million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 137 153 170 255 274 306 411 510 685 765 822 1233 1370 1530 2055 2329 2466 4110 4658 6165 6987 11645 12330 13974 20961 23290 34935 41922 53051 69870 104805 106102 159153 209610 265255 318306 477459 530510 795765 901867 954918 1591530 1803734 2387295 2705601 4509335 4774590 5411202 7267987 8116803 9018670 13528005 14535974 16233606 21803961 27056010 36339935 40584015 43607922 65411883 72679870 81168030 109019805 123555779 130823766 218039610 247111558 327059415 370667337 617778895 654118830 741334674 1112002011 1235557790 1853336685 2224004022 3706673370 5560010055 11120020110