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213024414213 = 3313637395231
BaseRepresentation
bin1100011001100100111…
…1101001101000000101
3202100212001000110222000
43012121033221220011
511442233222223323
6241510112255513
721250641434052
oct3063117515005
9670761013860
10213024414213
1182385801396
1235351541599
131711b78b550
14a44bba4029
15581bae9e43
hex31993e9a05

213024414213 has 32 divisors (see below), whose sum is σ = 339924910080. Its totient is φ = 131070000960.

The previous prime is 213024414167. The next prime is 213024414221. The reversal of 213024414213 is 312414420312.

213024414213 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 441 + 4 + 213 = 666.

It is not a de Polignac number, because 213024414213 - 214 = 213024397829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024414313) 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, 2189308 + ... + 2284538.

It is an arithmetic number, because the mean of its divisors is an integer number (10622653440).

Almost surely, 2213024414213 is an apocalyptic number.

It is an amenable number.

213024414213 is a deficient number, since it is larger than the sum of its proper divisors (126900495867).

213024414213 is a wasteful number, since it uses less digits than its factorization.

213024414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101626 (or 101620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213024414213 its reverse (312414420312), we get a palindrome (525438834525).

The spelling of 213024414213 in words is "two hundred thirteen billion, twenty-four million, four hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 6373 19119 57357 82849 95231 172071 248547 285693 745641 857079 1238003 2236923 2571237 3714009 11142027 33426081 606907163 1820721489 5462164467 7889793119 16386493401 23669379357 71008138071 213024414213