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2011321312 = 257111362791
BaseRepresentation
bin111011111100010…
…0101001111100000
312012011122201010221
41313320211033200
513104344240222
6531325332424
7100561643350
oct16770451740
95164581127
102011321312
1194237a520
12481707114
1326090c470
141511a4b60
15bb89c0c7
hex77e253e0

2011321312 has 96 divisors (see below), whose sum is σ = 5316724224. Its totient is φ = 723340800.

The previous prime is 2011321309. The next prime is 2011321313. The reversal of 2011321312 is 2131231102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011321313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 63427.

It is an arithmetic number, because the mean of its divisors is an integer number (55382544).

Almost surely, 22011321312 is an apocalyptic number.

2011321312 is a gapful number since it is divisible by the number (22) 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 2011321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658362112).

2011321312 is an abundant number, since it is smaller than the sum of its proper divisors (3305402912).

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

2011321312 is a wasteful number, since it uses less digits than its factorization.

2011321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62832 (or 62824 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2011321312 is about 44847.7570453640. The cubic root of 2011321312 is about 1262.2939047563.

Adding to 2011321312 its reverse (2131231102), we get a palindrome (4142552414).

It can be divided in two parts, 2011 and 321312, that added together give a palindrome (323323).

The spelling of 2011321312 in words is "two billion, eleven million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 62791 125582 251164 439537 502328 690701 816283 879074 1004656 1381402 1632566 1758148 2009312 2762804 3265132 3516296 4834907 5525608 5713981 6530264 7032592 8979113 9669814 11051216 11427962 13060528 14065184 17958226 19339628 22102432 22855924 26121056 35916452 38679256 45711848 62853791 71832904 77358512 91423696 125707582 143665808 154717024 182847392 251415164 287331616 502830328 1005660656 2011321312