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2001402312 = 2337131376689
BaseRepresentation
bin111011101001010…
…1111100111001000
312011110222202211120
41313102233213020
513044324333222
6530332555240
7100411432110
oct16722574710
95143882746
102001402312
119378151a8
1247a322b20
1325b848730
1414db42040
15baa8d15c
hex774af9c8

2001402312 has 128 divisors (see below), whose sum is σ = 6204038400. Its totient is φ = 523911168.

The previous prime is 2001402311. The next prime is 2001402407. The reversal of 2001402312 is 2132041002.

It is a super-2 number, since 2×20014023122 = 8011222428957890688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001402291 and 2001402300.

It is not an unprimeable number, because it can be changed into a prime (2001402311) 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, 295864 + ... + 302552.

It is an arithmetic number, because the mean of its divisors is an integer number (48469050).

Almost surely, 22001402312 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 2001402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102019200).

2001402312 is an abundant number, since it is smaller than the sum of its proper divisors (4202636088).

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

2001402312 is a wasteful number, since it uses less digits than its factorization.

2001402312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2001402312 is about 44737.0351275093. The cubic root of 2001402312 is about 1260.2154481671.

Adding to 2001402312 its reverse (2132041002), we get a palindrome (4133443314).

The spelling of 2001402312 in words is "two billion, one million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 137 156 168 182 273 274 312 364 411 546 548 728 822 959 1092 1096 1644 1781 1918 2184 2877 3288 3562 3836 5343 5754 6689 7124 7672 10686 11508 12467 13378 14248 20067 21372 23016 24934 26756 37401 40134 42744 46823 49868 53512 74802 80268 86957 93646 99736 140469 149604 160536 173914 187292 260871 280938 299208 347828 374584 521742 561876 608699 695656 916393 1043484 1123752 1217398 1826097 1832786 2086968 2434796 2749179 3652194 3665572 4869592 5498358 6414751 7304388 7331144 10996716 11913109 12829502 14608776 19244253 21993432 23826218 25659004 35739327 38488506 47652436 51318008 71478654 76977012 83391763 95304872 142957308 153954024 166783526 250175289 285914616 333567052 500350578 667134104 1000701156 2001402312