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213277451226 = 23723659335029
BaseRepresentation
bin1100011010100001010…
…0111010001111011010
3202101111200011002111020
43012220110322033122
511443243011414401
6241551151543310
721260133265230
oct3065024721732
9671450132436
10213277451226
11824a5619894
123540222ab36
131715c0253a8
14a473630950
155833e2dd36
hex31a853a3da

213277451226 has 64 divisors (see below), whose sum is σ = 509460019200. Its totient is φ = 58198383936.

The previous prime is 213277451221. The next prime is 213277451227. The reversal of 213277451226 is 622154772312.

213277451226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (213277451221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469080 + ... + 804108.

It is an arithmetic number, because the mean of its divisors is an integer number (7960312800).

Almost surely, 2213277451226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213277451226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254730009600).

213277451226 is an abundant number, since it is smaller than the sum of its proper divisors (296182567974).

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

213277451226 is a wasteful number, since it uses less digits than its factorization.

213277451226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335723.

The product of its digits is 282240, while the sum is 42.

The spelling of 213277451226 in words is "two hundred thirteen billion, two hundred seventy-seven million, four hundred fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 659 966 1318 1977 3954 4613 9226 13839 15157 27678 30314 45471 90942 106099 212198 318297 335029 636594 670058 1005087 2010174 2345203 4690406 7035609 7705667 14071218 15411334 23117001 46234002 53939669 107879338 161819007 220784111 323638014 441568222 662352333 1324704666 1545488777 3090977554 4636466331 5078034553 9272932662 10156069106 15234103659 30468207318 35546241871 71092483742 106638725613 213277451226