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213835030677 = 33103331323209
BaseRepresentation
bin1100011100100110001…
…1111010000010010101
3202102221112100001201000
43013021203322002111
512000413231440202
6242122350453513
721310013525262
oct3071143720225
9672845301630
10213835030677
1182761333554
1235538b04299
131721a6ba768
14a4c76d4269
155867d6c91c
hex31c98fa095

213835030677 has 32 divisors (see below), whose sum is σ = 319978630400. Its totient is φ = 141123949056.

The previous prime is 213835030667. The next prime is 213835030679. The reversal of 213835030677 is 776030538312.

213835030677 is a `hidden beast` number, since 2 + 1 + 3 + 83 + 503 + 0 + 67 + 7 = 666.

It is not a de Polignac number, because 213835030677 - 26 = 213835030613 is a prime.

It is a super-3 number, since 3×2138350306773 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213835030679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9201849 + ... + 9225057.

It is an arithmetic number, because the mean of its divisors is an integer number (9999332200).

Almost surely, 2213835030677 is an apocalyptic number.

213835030677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

213835030677 is a deficient number, since it is larger than the sum of its proper divisors (106143599723).

213835030677 is a wasteful number, since it uses less digits than its factorization.

213835030677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26634 (or 26628 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 213835030677 its reverse (776030538312), we get a palindrome (989865568989).

The spelling of 213835030677 in words is "two hundred thirteen billion, eight hundred thirty-five million, thirty thousand, six hundred seventy-seven".

Divisors: 1 3 9 27 103 309 927 2781 3313 9939 23209 29817 69627 89451 208881 341239 626643 1023717 2390527 3071151 7171581 9213453 21514743 64544229 76891417 230674251 692022753 2076068259 7919815951 23759447853 71278343559 213835030677