Search a number
-
+
2213506542051 = 32725099861079
BaseRepresentation
bin100000001101011111010…
…001010110100111100011
321211121110002001221222200
4200031133101112213203
5242231230133321201
64412512035104243
7315630520111500
oct40153721264743
97747402057880
102213506542051
11783819811a32
122b8baaa42083
1313096ab8ac5c
14791c46b64a7
153c8a20b0386
hex2035f4569e3

2213506542051 has 36 divisors (see below), whose sum is σ = 3726600742800. Its totient is φ = 1262375761248.

The previous prime is 2213506542041. The next prime is 2213506542053. The reversal of 2213506542051 is 1502456053122.

2213506542051 is a `hidden beast` number, since 2 + 2 + 13 + 50 + 6 + 542 + 0 + 51 = 666.

2213506542051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213506542051 - 29 = 2213506541539 is a prime.

It is a super-2 number, since 2×22135065420512 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213506541997 and 2213506542015.

It is not an unprimeable number, because it can be changed into a prime (2213506542053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4706071 + ... + 5155008.

It is an arithmetic number, because the mean of its divisors is an integer number (103516687300).

Almost surely, 22213506542051 is an apocalyptic number.

2213506542051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2213506542051 is a deficient number, since it is larger than the sum of its proper divisors (1513094200749).

2213506542051 is a wasteful number, since it uses less digits than its factorization.

2213506542051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861608 (or 9861598 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2213506542051 in words is "two trillion, two hundred thirteen billion, five hundred six million, five hundred forty-two thousand, fifty-one".

Divisors: 1 3 7 9 21 49 63 147 441 509 1527 3563 4581 10689 24941 32067 74823 224469 9861079 29583237 69027553 88749711 207082659 483192871 621247977 1449578613 4348735839 5019289211 15057867633 35135024477 45173602899 105405073431 245945171339 316215220293 737835514017 2213506542051