Search a number
-
+
2011014012 = 22371271311439
BaseRepresentation
bin111011111011101…
…1010001101111100
312012011002002121110
41313313122031330
513104304422022
6531315002020
7100556223420
oct16767321574
95164062543
102011014012
1194218a657
12481599310
13260832627
14151124b80
15bb83b00c
hex77dda37c

2011014012 has 96 divisors (see below), whose sum is σ = 5449973760. Its totient is φ = 565306560.

The previous prime is 2011013987. The next prime is 2011014059. The reversal of 2011014012 is 2104101102.

It is a happy number.

It is a super-2 number, since 2×20110140122 = 8088354712920672288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1396789 + ... + 1398227.

It is an arithmetic number, because the mean of its divisors is an integer number (56770560).

Almost surely, 22011014012 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 2011014012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724986880).

2011014012 is an abundant number, since it is smaller than the sum of its proper divisors (3438959748).

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

2011014012 is a wasteful number, since it uses less digits than its factorization.

2011014012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2011014012 is about 44844.3308791646. The cubic root of 2011014012 is about 1262.2296149000.

Adding to 2011014012 its reverse (2104101102), we get a palindrome (4115115114).

The spelling of 2011014012 in words is "two billion, eleven million, fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 131 254 262 381 393 508 524 762 786 889 917 1439 1524 1572 1778 1834 2667 2751 2878 3556 3668 4317 5334 5502 5756 8634 10073 10668 11004 16637 17268 20146 30219 33274 40292 49911 60438 66548 99822 116459 120876 182753 188509 199644 232918 349377 365506 377018 465836 548259 565527 698754 731012 754036 1096518 1131054 1279271 1319563 1397508 2193036 2262108 2558542 2639126 3837813 3958689 5117084 5278252 7675626 7917378 15351252 15834756 23940643 47881286 71821929 95762572 143643858 167584501 287287716 335169002 502753503 670338004 1005507006 2011014012