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213013116 = 223256910399
BaseRepresentation
bin11001011001001…
…01001001111100
3112211211012001200
430230211021330
5414012404431
633045335500
75164403331
oct1454451174
9484735050
10213013116
11aa2709a8
125b407590
1335192484
142040c988
1513a79ee6
hexcb2527c

213013116 has 36 divisors (see below), whose sum is σ = 539448000. Its totient is φ = 70872768.

The previous prime is 213013103. The next prime is 213013117. The reversal of 213013116 is 611310312.

213013116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15285 + ... + 25683.

Almost surely, 2213013116 is an apocalyptic number.

It is an amenable number.

213013116 is an abundant number, since it is smaller than the sum of its proper divisors (326434884).

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

213013116 is a wasteful number, since it uses less digits than its factorization.

213013116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 213013116 is about 14594.9688591651. The cubic root of 213013116 is about 597.2215199418.

Adding to 213013116 its reverse (611310312), we get a palindrome (824323428).

The spelling of 213013116 in words is "two hundred thirteen million, thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 3414 5121 6828 10242 10399 20484 20798 31197 41596 62394 93591 124788 187182 374364 5917031 11834062 17751093 23668124 35502186 53253279 71004372 106506558 213013116