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2112715104 = 2531271491163
BaseRepresentation
bin111110111101101…
…0111100101100000
312110020110001021120
41331323113211200
513311323340404
6545350452240
7103232532153
oct17573274540
95406401246
102112715104
11994633145
124ab664080
132789204a6
14160839c9a
15c57299d9
hex7ded7960

2112715104 has 96 divisors (see below), whose sum is σ = 5631897600. Its totient is φ = 693407232.

The previous prime is 2112715057. The next prime is 2112715169. The reversal of 2112715104 is 4015172112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21127151042 = 8927130221339461632, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1816027 + ... + 1817189.

It is an arithmetic number, because the mean of its divisors is an integer number (58665600).

Almost surely, 22112715104 is an apocalyptic number.

2112715104 is a gapful number since it is divisible by the number (24) 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 2112715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815948800).

2112715104 is an abundant number, since it is smaller than the sum of its proper divisors (3519182496).

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

2112715104 is a wasteful number, since it uses less digits than its factorization.

2112715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 2112715104 is about 45964.2807405925. The cubic root of 2112715104 is about 1283.1585212534.

Adding to 2112715104 its reverse (4015172112), we get a palindrome (6127887216).

The spelling of 2112715104 in words is "two billion, one hundred twelve million, seven hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 149 254 298 381 447 508 596 762 894 1016 1163 1192 1524 1788 2032 2326 2384 3048 3489 3576 4064 4652 4768 6096 6978 7152 9304 12192 13956 14304 18608 18923 27912 37216 37846 55824 56769 75692 111648 113538 147701 151384 173287 227076 295402 302768 346574 443103 454152 519861 590804 605536 693148 886206 908304 1039722 1181608 1386296 1772412 1816608 2079444 2363216 2772592 3544824 4158888 4726432 5545184 7089648 8317776 14179296 16635552 22007449 44014898 66022347 88029796 132044694 176059592 264089388 352119184 528178776 704238368 1056357552 2112715104