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2112331104 = 253213564191
BaseRepresentation
bin111110111100111…
…1001110101100000
312110012201112112100
41331321321311200
513311224043404
6545334330400
7103226342502
oct17571716540
95405645470
102112331104
119943a0694
124ab4b9a00
13278817780
14160779d72
15c56a0d39
hex7de79d60

2112331104 has 72 divisors (see below), whose sum is σ = 6469025472. Its totient is φ = 649946880.

The previous prime is 2112331093. The next prime is 2112331127. The reversal of 2112331104 is 4011332112.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 278352 + ... + 285839.

It is an arithmetic number, because the mean of its divisors is an integer number (89847576).

Almost surely, 22112331104 is an apocalyptic number.

2112331104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112331104 is an abundant number, since it is smaller than the sum of its proper divisors (4356694368).

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

2112331104 is a wasteful number, since it uses less digits than its factorization.

2112331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564220 (or 564209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2112331104 is about 45960.1033941396. The cubic root of 2112331104 is about 1283.0807756822.

Adding to 2112331104 its reverse (4011332112), we get a palindrome (6123663216).

The spelling of 2112331104 in words is "two billion, one hundred twelve million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 564191 1128382 1692573 2256764 3385146 4513528 5077719 6770292 7334483 9027056 10155438 13540584 14668966 18054112 20310876 22003449 27081168 29337932 40621752 44006898 54162336 58675864 66010347 81243504 88013796 117351728 132020694 162487008 176027592 234703456 264041388 352055184 528082776 704110368 1056165552 2112331104