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2059110312 = 2337171993623
BaseRepresentation
bin111101010111011…
…1000011110101000
312022111120122022220
41322232320132220
513204113012222
6540153514040
7102012102030
oct17256703650
95274518286
102059110312
11967350066
12495712920
1326a7a238c
141576848c0
15c0b8bb5c
hex7abb87a8

2059110312 has 128 divisors (see below), whose sum is σ = 6262272000. Its totient is φ = 550775808.

The previous prime is 2059110311. The next prime is 2059110409. The reversal of 2059110312 is 2130119502.

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

It is not an unprimeable number, because it can be changed into a prime (2059110311) 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, 566533 + ... + 570155.

It is an arithmetic number, because the mean of its divisors is an integer number (48924000).

Almost surely, 22059110312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131136000).

2059110312 is an abundant number, since it is smaller than the sum of its proper divisors (4203161688).

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

2059110312 is a wasteful number, since it uses less digits than its factorization.

2059110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2059110312 is about 45377.4207288162. The cubic root of 2059110312 is about 1272.2131233810.

Adding to 2059110312 its reverse (2130119502), we get a palindrome (4189229814).

It can be divided in two parts, 20591 and 10312, that added together give a palindrome (30903).

The spelling of 2059110312 in words is "two billion, fifty-nine million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 199 204 238 357 398 408 476 597 714 796 952 1194 1393 1428 1592 2388 2786 2856 3383 3623 4179 4776 5572 6766 7246 8358 10149 10869 11144 13532 14492 16716 20298 21738 23681 25361 27064 28984 33432 40596 43476 47362 50722 61591 71043 76083 81192 86952 94724 101444 123182 142086 152166 184773 189448 202888 246364 284172 304332 369546 431137 492728 568344 608664 720977 739092 862274 1293411 1441954 1478184 1724548 2162931 2586822 2883908 3449096 4325862 5046839 5173644 5767816 8651724 10093678 10347288 12256609 15140517 17303448 20187356 24513218 30281034 36769827 40374712 49026436 60562068 73539654 85796263 98052872 121124136 147079308 171592526 257388789 294158616 343185052 514777578 686370104 1029555156 2059110312