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213354141 = 371113233089
BaseRepresentation
bin11001011011110…
…00011010011101
3112212110111212020
430231320122131
5414104313031
633100530353
75200323510
oct1455703235
9485414766
10213354141
11aa484140
125b5509b9
1335281770
142049ad77
1513ae6096
hexcb7869d

213354141 has 64 divisors (see below), whose sum is σ = 398684160. Its totient is φ = 97827840.

The previous prime is 213354137. The next prime is 213354157. The reversal of 213354141 is 141453312.

It is a happy number.

It is not a de Polignac number, because 213354141 - 22 = 213354137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213354101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67525 + ... + 70613.

It is an arithmetic number, because the mean of its divisors is an integer number (6229440).

Almost surely, 2213354141 is an apocalyptic number.

213354141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213354141 is a deficient number, since it is larger than the sum of its proper divisors (185330019).

213354141 is a wasteful number, since it uses less digits than its factorization.

213354141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146.

The product of its digits is 1440, while the sum is 24.

The square root of 213354141 is about 14606.6471512117. The cubic root of 213354141 is about 597.5400588211.

The spelling of 213354141 in words is "two hundred thirteen million, three hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 1001 1771 2093 3003 3089 3289 5313 6279 9267 9867 21623 23023 33979 40157 64869 69069 71047 101937 120471 213141 237853 281099 441727 497329 713559 781517 843297 923611 1325181 1491987 2344551 2770833 3092089 5470619 6465277 9276267 10159721 16411857 19395831 30479163 71118047 213354141