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11131120110 = 23511101337991
BaseRepresentation
bin10100101110111011…
…10110100111101110
31001201202011111012210
422113131312213232
5140244031320420
65040310311250
7542560650135
oct122735664756
931652144183
1011131120110
1147a2255320
1221a7958526
131085145c06
1477848291c
1545233e9e0
hex2977769ee

11131120110 has 128 divisors (see below), whose sum is σ = 29548965888. Its totient is φ = 2661120000.

The previous prime is 11131120097. The next prime is 11131120111. The reversal of 11131120110 is 1102113111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131120111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11231715 + ... + 11232705.

It is an arithmetic number, because the mean of its divisors is an integer number (230851296).

Almost surely, 211131120110 is an apocalyptic number.

11131120110 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 11131120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774482944).

11131120110 is an abundant number, since it is smaller than the sum of its proper divisors (18417845778).

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

11131120110 is a wasteful number, since it uses less digits than its factorization.

11131120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11131120110 its reverse (1102113111), we get a palindrome (12233233221).

The spelling of 11131120110 in words is "eleven billion, one hundred thirty-one million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 337 505 606 674 991 1010 1011 1111 1515 1685 1982 2022 2222 2973 3030 3333 3370 3707 4955 5055 5555 5946 6666 7414 9910 10110 10901 11110 11121 14865 16665 18535 21802 22242 29730 32703 33330 34037 37070 54505 55605 65406 68074 100091 102111 109010 111210 163515 170185 200182 204222 300273 327030 333967 340370 374407 500455 510555 600546 667934 748814 1000910 1001901 1021110 1101001 1123221 1501365 1669835 1872035 2003802 2202002 2246442 3002730 3303003 3339670 3673637 3744070 5009505 5505005 5616105 6606006 7347274 10019010 11010010 11020911 11232210 16515015 18368185 22041822 33030030 33730667 36736370 55104555 67461334 101192001 110209110 168653335 202384002 337306670 371037337 505960005 742074674 1011920010 1113112011 1855186685 2226224022 3710373370 5565560055 11131120110