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213030104 = 23771131409
BaseRepresentation
bin11001011001010…
…01010011011000
3112211212001100212
430230221103120
5414013430404
633045550252
75164504010
oct1454512330
9484761325
10213030104
11aa282741
125b415388
133519a121
1420414c40
1513a8006e
hexcb294d8

213030104 has 64 divisors (see below), whose sum is σ = 467596800. Its totient is φ = 89107200.

The previous prime is 213030091. The next prime is 213030107. The reversal of 213030104 is 401030312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520652 + ... + 521060.

It is an arithmetic number, because the mean of its divisors is an integer number (7306200).

Almost surely, 2213030104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233798400).

213030104 is an abundant number, since it is smaller than the sum of its proper divisors (254566696).

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

213030104 is a wasteful number, since it uses less digits than its factorization.

213030104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213030104 is about 14595.5508289341. The cubic root of 213030104 is about 597.2373958492.

Adding to 213030104 its reverse (401030312), we get a palindrome (614060416).

The spelling of 213030104 in words is "two hundred thirteen million, thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 71 131 142 262 284 409 497 524 568 818 917 994 1048 1636 1834 1988 2863 3272 3668 3976 5726 7336 9301 11452 18602 22904 29039 37204 53579 58078 65107 74408 107158 116156 130214 203273 214316 232312 260428 375053 406546 428632 520856 750106 813092 1500212 1626184 3000424 3804109 7608218 15216436 26628763 30432872 53257526 106515052 213030104