Search a number
-
+
2011021012 = 22711134211193
BaseRepresentation
bin111011111011101…
…1011111011010100
312012011002110012201
41313313123323110
513104310133022
6531315054244
7100556253010
oct16767337324
95164073181
102011021012
11942194940
124815a1384
13260835880
14151127540
15bb83d127
hex77ddbed4

2011021012 has 96 divisors (see below), whose sum is σ = 4740390144. Its totient is φ = 720921600.

The previous prime is 2011020989. The next prime is 2011021043. The reversal of 2011021012 is 2101201102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011021012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685088 + ... + 1686280.

It is an arithmetic number, because the mean of its divisors is an integer number (49379064).

Almost surely, 22011021012 is an apocalyptic number.

2011021012 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 2011021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370195072).

2011021012 is an abundant number, since it is smaller than the sum of its proper divisors (2729369132).

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

2011021012 is a wasteful number, since it uses less digits than its factorization.

2011021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2011021012 is about 44844.4089268662. The cubic root of 2011021012 is about 1262.2310794344.

Adding to 2011021012 its reverse (2101201102), we get a palindrome (4112222114).

The spelling of 2011021012 in words is "two billion, eleven million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 421 572 842 1001 1193 1684 2002 2386 2947 4004 4631 4772 5473 5894 8351 9262 10946 11788 13123 15509 16702 18524 21892 26246 31018 32417 33404 38311 52492 60203 62036 64834 76622 91861 108563 120406 129668 153244 170599 183722 217126 240812 341198 367444 421421 434252 502253 682396 842842 1004506 1194193 1685684 2009012 2388386 3515771 4776772 5524783 6529289 7031542 11049566 13058578 14063084 22099132 26117156 38673481 45705023 71822179 77346962 91410046 143644358 154693924 182820092 287288716 502755253 1005510506 2011021012