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2311056020 = 2257134130971
BaseRepresentation
bin1000100110111111…
…1110101010010100
312222001122210212102
42021233332222110
514213112243040
61021153541232
7111161436440
oct21157765224
95861583772
102311056020
11a86592659
12545b74818
132aaa46590
1417cd09820
15d7d57515
hex89bfea94

2311056020 has 96 divisors (see below), whose sum is σ = 6119076096. Its totient is φ = 713548800.

The previous prime is 2311055977. The next prime is 2311056029. The reversal of 2311056020 is 206501132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2311055983 and 2311056001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311056029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59135 + ... + 90105.

It is an arithmetic number, because the mean of its divisors is an integer number (63740376).

Almost surely, 22311056020 is an apocalyptic number.

2311056020 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 2311056020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059538048).

2311056020 is an abundant number, since it is smaller than the sum of its proper divisors (3808020076).

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

2311056020 is a wasteful number, since it uses less digits than its factorization.

2311056020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31041 (or 31039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2311056020 is about 48073.4440205817. Note that the first 3 decimals coincide. The cubic root of 2311056020 is about 1322.1178162924.

Adding to 2311056020 its reverse (206501132), we get a palindrome (2517557152).

The spelling of 2311056020 in words is "two billion, three hundred eleven million, fifty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 182 205 260 287 364 410 455 533 574 820 910 1066 1148 1435 1820 2132 2665 2870 3731 5330 5740 7462 10660 14924 18655 30971 37310 61942 74620 123884 154855 216797 309710 402623 433594 619420 805246 867188 1083985 1269811 1610492 2013115 2167970 2539622 2818361 4026230 4335940 5079244 5636722 6349055 8052460 8888677 11273444 12698110 14091805 16507543 17777354 25396220 28183610 33015086 35554708 44443385 56367220 66030172 82537715 88886770 115552801 165075430 177773540 231105602 330150860 462211204 577764005 1155528010 2311056020