Search a number
-
+
111222004344 = 2331121112891549
BaseRepresentation
bin110011110010101011…
…0010001101001111000
3101122002020211020012020
41213211112101221320
53310240313114334
6123032241314440
711015120303223
oct1474526215170
9348066736166
10111222004344
1143194a16060
1219680035a20
13a646726bb9
1455516005ba
152d5e52ce49
hex19e5591a78

111222004344 has 128 divisors (see below), whose sum is σ = 305203680000. Its totient is φ = 33496243200.

The previous prime is 111222004343. The next prime is 111222004351. The reversal of 111222004344 is 443400222111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111222004343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71801682 + ... + 71803230.

It is an arithmetic number, because the mean of its divisors is an integer number (2384403750).

Almost surely, 2111222004344 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 111222004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152601840000).

111222004344 is an abundant number, since it is smaller than the sum of its proper divisors (193981675656).

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

111222004344 is a wasteful number, since it uses less digits than its factorization.

111222004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 111222004344 its reverse (443400222111), we get a palindrome (554622226455).

The spelling of 111222004344 in words is "one hundred eleven billion, two hundred twenty-two million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 844 1266 1289 1549 1688 2321 2532 2578 3098 3867 4642 4647 5064 5156 6196 6963 7734 9284 9294 10312 12392 13926 14179 15468 17039 18568 18588 27852 28358 30936 34078 37176 42537 51117 55704 56716 68156 85074 102234 113432 136312 170148 204468 271979 326839 340296 408936 543958 653678 815937 980517 1087916 1307356 1631874 1961034 1996661 2175832 2614712 2991769 3263748 3595229 3922068 3993322 5983538 5989983 6527496 7190458 7844136 7986644 8975307 10785687 11967076 11979966 14380916 15973288 17950614 21571374 21963271 23934152 23959932 28761832 35901228 43142748 43926542 47919864 65889813 71802456 86285496 87853084 131779626 175706168 263559252 421295471 527118504 842590942 1263886413 1685181884 2527772826 3370363768 4634250181 5055545652 9268500362 10111091304 13902750543 18537000724 27805501086 37074001448 55611002172 111222004344