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2311132096 = 267131013929
BaseRepresentation
bin1000100111000001…
…0001001111000000
312222001210200020001
42021300101033000
514213122211341
61021155325344
7111162204310
oct21160211700
95861720201
102311132096
11a86634829
12545bb0854
132aaa720b0
1417cd29440
15d7d6ed31
hex89c113c0

2311132096 has 112 divisors (see below), whose sum is σ = 5701832640. Its totient is φ = 905011200.

The previous prime is 2311132093. The next prime is 2311132121. The reversal of 2311132096 is 6902311132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×23111320962 = 10682663130322706432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311132091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586260 + ... + 590188.

It is an arithmetic number, because the mean of its divisors is an integer number (50909220).

Almost surely, 22311132096 is an apocalyptic number.

2311132096 is a gapful number since it is divisible by the number (26) 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 2311132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850916320).

2311132096 is an abundant number, since it is smaller than the sum of its proper divisors (3390700544).

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

2311132096 is a wasteful number, since it uses less digits than its factorization.

2311132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2311132096 is about 48074.2352617283. The cubic root of 2311132096 is about 1322.1323234168.

The spelling of 2311132096 in words is "two billion, three hundred eleven million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 101 104 112 182 202 208 224 364 404 416 448 707 728 808 832 1313 1414 1456 1616 2626 2828 2912 3232 3929 5252 5656 5824 6464 7858 9191 10504 11312 15716 18382 21008 22624 27503 31432 36764 42016 45248 51077 55006 62864 73528 84032 102154 110012 125728 147056 204308 220024 251456 294112 357539 396829 408616 440048 588224 715078 793658 817232 880096 1430156 1587316 1634464 1760192 2777803 2860312 3174632 3268928 5158777 5555606 5720624 6349264 10317554 11111212 11441248 12698528 20635108 22222424 22882496 25397056 36111439 41270216 44444848 72222878 82540432 88889696 144445756 165080864 177779392 288891512 330161728 577783024 1155566048 2311132096