Search a number
-
+
2112343022412 = 2233719147058133
BaseRepresentation
bin11110101111010001011…
…101001001101101001100
321110221022211001200212000
4132233101131021231030
5234102034303204122
64254221425512300
7305416554303450
oct36572135115514
97427284050760
102112343022412
11744926627357
122a14774a2690
131242682ba86c
1474348d00660
1539e30b440ac
hex1ebd1749b4c

2112343022412 has 96 divisors (see below), whose sum is σ = 6588204403200. Its totient is φ = 571762017216.

The previous prime is 2112343022411. The next prime is 2112343022417. The reversal of 2112343022412 is 2142203432112.

2112343022412 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 3 + 430 + 224 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2112343022411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73514703 + ... + 73543430.

It is an arithmetic number, because the mean of its divisors is an integer number (68627129200).

Almost surely, 22112343022412 is an apocalyptic number.

It is an amenable number.

2112343022412 is an abundant number, since it is smaller than the sum of its proper divisors (4475861380788).

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

2112343022412 is a wasteful number, since it uses less digits than its factorization.

2112343022412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147058172 (or 147058164 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2112343022412 its reverse (2142203432112), we get a palindrome (4254546454524).

The spelling of 2112343022412 in words is "two trillion, one hundred twelve billion, three hundred forty-three million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 147058133 294116266 441174399 588232532 882348798 1029406931 1323523197 1764697596 2058813862 2647046394 2794104527 3088220793 3970569591 4117627724 5294092788 5588209054 6176441586 7941139182 8382313581 9264662379 11176418108 12352883172 15882278364 16764627162 18529324758 19558731689 25146940743 27793987137 33529254324 37058649516 39117463378 50293881486 55587974274 58676195067 75440822229 78234926756 100587762972 111175948548 117352390134 150881644458 176028585201 234704780268 301763288916 352057170402 528085755603 704114340804 1056171511206 2112343022412