Search a number
-
+
111220012000 = 2553227122489
BaseRepresentation
bin110011110010100111…
…0101011001111100000
3101122002010002000012201
41213211032223033200
53310234310341000
6123032130502544
711015064334516
oct1474516531740
9348063060181
10111220012000
1143193885199
121967b434a54
13a6461aa0b6
1455512424b6
152d5e28796a
hex19e53ab3e0

111220012000 has 96 divisors (see below), whose sum is σ = 274473632160. Its totient is φ = 44291660800.

The previous prime is 111220011977. The next prime is 111220012019. The reversal of 111220012000 is 210022111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846756 + ... + 969244.

It is an arithmetic number, because the mean of its divisors is an integer number (2859100335).

Almost surely, 2111220012000 is an apocalyptic number.

111220012000 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 111220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137236816080).

111220012000 is an abundant number, since it is smaller than the sum of its proper divisors (163253620160).

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

111220012000 is a wasteful number, since it uses less digits than its factorization.

111220012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122741 (or 122723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111220012000 its reverse (210022111), we get a palindrome (111430034111).

The spelling of 111220012000 in words is "one hundred eleven billion, two hundred twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 500 800 908 1000 1135 1816 2000 2270 3632 4000 4540 5675 7264 9080 11350 18160 22700 28375 36320 45400 56750 90800 113500 122489 181600 227000 244978 454000 489956 612445 908000 979912 1224890 1959824 2449780 3062225 3919648 4899560 6124450 9799120 12248900 15311125 19598240 24497800 27805003 30622250 48995600 55610006 61244500 97991200 111220012 122489000 139025015 222440024 244978000 278050030 444880048 489956000 556100060 695125075 889760096 1112200120 1390250150 2224400240 2780500300 3475625375 4448800480 5561000600 6951250750 11122001200 13902501500 22244002400 27805003000 55610006000 111220012000