Search a number
-
+
11120023112 = 2311599112351
BaseRepresentation
bin10100101101100111…
…00001011001001000
31001200222021200222212
422112303201121020
5140233211214422
65035232404252
7542364431312
oct122663413110
931628250885
1011120023112
114796a65a50
1221a40a6688
131082a5bc43
14776bd47b2
1545139b9e2
hex296ce1648

11120023112 has 64 divisors (see below), whose sum is σ = 23166259200. Its totient is φ = 4961320000.

The previous prime is 11120023111. The next prime is 11120023129. The reversal of 11120023112 is 21132002111.

It is a super-2 number, since 2×111200231122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120023111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4728737 + ... + 4731087.

It is an arithmetic number, because the mean of its divisors is an integer number (361972800).

Almost surely, 211120023112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583129600).

11120023112 is an abundant number, since it is smaller than the sum of its proper divisors (12046236088).

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

11120023112 is a wasteful number, since it uses less digits than its factorization.

11120023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11120023112 its reverse (21132002111), we get a palindrome (32252025223).

The spelling of 11120023112 in words is "eleven billion, one hundred twenty million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 911 1298 1822 2351 2596 3644 4702 5192 7288 9404 10021 18808 20042 25861 40084 51722 53749 80168 103444 107498 138709 206888 214996 277418 429992 554836 591239 1109672 1182478 1525799 2141761 2364956 3051598 4283522 4729912 6103196 8567044 12206392 17134088 23559371 47118742 94237484 126363899 188474968 252727798 505455596 1010911192 1390002889 2780005778 5560011556 11120023112