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112001111144 = 231323239195913
BaseRepresentation
bin110100001001111001…
…0010101010001101000
3101201002112211221210122
41220103302111101220
53313334241024034
6123241432302412
711043330510506
oct1502362252150
9351075757718
10112001111144
114355478657a
1219858b41a08
13a73bc72c40
1455c6c8b676
152da7b2962e
hex1a13c95468

112001111144 has 64 divisors (see below), whose sum is σ = 236977574400. Its totient is φ = 49238171136.

The previous prime is 112001111107. The next prime is 112001111197. The reversal of 112001111144 is 441111100211.

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, 473732 + ... + 669644.

It is an arithmetic number, because the mean of its divisors is an integer number (3702774600).

Almost surely, 2112001111144 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 112001111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118488787200).

112001111144 is an abundant number, since it is smaller than the sum of its proper divisors (124976463256).

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

112001111144 is a wasteful number, since it uses less digits than its factorization.

112001111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196194 (or 196190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112001111144 its reverse (441111100211), we get a palindrome (553112211355).

The spelling of 112001111144 in words is "one hundred twelve billion, one million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 239 299 478 598 956 1196 1912 2392 3107 5497 6214 10994 12428 21988 24856 43976 71461 142922 195913 285844 391826 571688 783652 1567304 2546869 4505999 5093738 9011998 10187476 18023996 20374952 36047992 46823207 58577987 93646414 117155974 187292828 234311948 374585656 468623896 608701691 1076933761 1217403382 2153867522 2434806764 4307735044 4869613528 8615470088 14000138893 28000277786 56000555572 112001111144