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11100023112 = 2331761653683
BaseRepresentation
bin10100101011001110…
…01110100101001000
31001122120122121011010
422111213032211020
5140213101214422
65033240003520
7542032432263
oct122547164510
931576577133
1011100023112
114786745722
1221994605a0
13107b878819
147742a9cda
1544e74ab0c
hex2959ce948

11100023112 has 128 divisors (see below), whose sum is σ = 29953618560. Its totient is φ = 3415019520.

The previous prime is 11100023107. The next prime is 11100023159. The reversal of 11100023112 is 21132000111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16251523 + ... + 16252205.

It is an arithmetic number, because the mean of its divisors is an integer number (234012645).

Almost surely, 211100023112 is an apocalyptic number.

11100023112 is a gapful number since it is divisible by the number (12) 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 11100023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976809280).

11100023112 is an abundant number, since it is smaller than the sum of its proper divisors (18853595448).

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

11100023112 is a wasteful number, since it uses less digits than its factorization.

11100023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1419 counting only the distinct ones).

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

Adding to 11100023112 its reverse (21132000111), we get a palindrome (32232023223).

The spelling of 11100023112 in words is "eleven billion, one hundred million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 653 683 732 1037 1306 1366 1464 1959 2049 2074 2612 2732 3111 3918 4098 4148 5224 5464 6222 7836 8196 8296 11101 11611 12444 15672 16392 22202 23222 24888 33303 34833 39833 41663 44404 46444 66606 69666 79666 83326 88808 92888 119499 124989 133212 139332 159332 166652 238998 249978 266424 278664 318664 333304 445999 477996 499956 677161 708271 891998 955992 999912 1337997 1354322 1416542 1783996 2031483 2124813 2675994 2708644 2833084 3567992 4062966 4249626 5351988 5417288 5666168 7581983 8125932 8499252 10703976 15163966 16251864 16998504 22745949 27205939 30327932 45491898 54411878 60655864 81617817 90983796 108823756 163235634 181967592 217647512 326471268 462500963 652942536 925001926 1387502889 1850003852 2775005778 3700007704 5550011556 11100023112