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2112024315520 = 27571871251969
BaseRepresentation
bin11110101110111110011…
…101011000011010000000
321110220111121100201012001
4132232332131120122000
5234100411211044040
64254130042513344
7305405634322030
oct36567635303200
97426447321161
102112024315520
11744782736129
122a13a8805854
131242172700c2
147431885b8c0
1539e12b8c59a
hex1ebbe758680

2112024315520 has 128 divisors (see below), whose sum is σ = 5773459161600. Its totient is φ = 723732725760.

The previous prime is 2112024315493. The next prime is 2112024315539. The reversal of 2112024315520 is 255134202112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 8256096 + ... + 8508064.

It is an arithmetic number, because the mean of its divisors is an integer number (45105149700).

Almost surely, 22112024315520 is an apocalyptic number.

2112024315520 is a gapful number since it is divisible by the number (20) 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 2112024315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886729580800).

2112024315520 is an abundant number, since it is smaller than the sum of its proper divisors (3661434846080).

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

2112024315520 is a wasteful number, since it uses less digits than its factorization.

2112024315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253866 (or 253854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 2112024315520 its reverse (255134202112), we get a palindrome (2367158517632).

The spelling of 2112024315520 in words is "two trillion, one hundred twelve billion, twenty-four million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1871 2240 3742 4480 7484 9355 13097 14968 18710 26194 29936 37420 52388 59872 65485 74840 104776 119744 130970 149680 209552 239488 251969 261940 299360 419104 503938 523880 598720 838208 1007876 1047760 1197440 1259845 1676416 1763783 2015752 2095520 2519690 3527566 4031504 4191040 5039380 7055132 8063008 8382080 8818915 10078760 14110264 16126016 17637830 20157520 28220528 32252032 35275660 40315040 56441056 70551320 80630080 112882112 141102640 161260160 225764224 282205280 471433999 564410560 942867998 1128821120 1885735996 2357169995 3300037993 3771471992 4714339990 6600075986 7542943984 9428679980 13200151972 15085887968 16500189965 18857359960 26400303944 30171775936 33000379930 37714719920 52800607888 60343551872 66000759860 75429439840 105601215776 132001519720 150858879680 211202431552 264003039440 301717759360 422404863104 528006078880 1056012157760 2112024315520