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213510030 = 23519834513
BaseRepresentation
bin11001011100111…
…10011110001110
3112212202102200220
430232132132032
5414124310110
633104132210
75201543136
oct1456363616
9485672626
10213510030
11aa580278
125b607066
13353076c6
14204dbac6
1513b27370
hexcb9e78e

213510030 has 64 divisors (see below), whose sum is σ = 546013440. Its totient is φ = 53277696.

The previous prime is 213510013. The next prime is 213510107. The reversal of 213510030 is 30015312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 213509991 and 213510009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45054 + ... + 49566.

It is an arithmetic number, because the mean of its divisors is an integer number (8531460).

Almost surely, 2213510030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213510030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273006720).

213510030 is an abundant number, since it is smaller than the sum of its proper divisors (332503410).

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

213510030 is a wasteful number, since it uses less digits than its factorization.

213510030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 213510030 is about 14611.9824117058. The cubic root of 213510030 is about 597.6855559494.

Adding to 213510030 its reverse (30015312), we get a palindrome (243525342).

The spelling of 213510030 in words is "two hundred thirteen million, five hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 249 285 415 498 570 830 1245 1577 2490 3154 4513 4731 7885 9026 9462 13539 15770 22565 23655 27078 45130 47310 67695 85747 135390 171494 257241 374579 428735 514482 749158 857470 1123737 1286205 1872895 2247474 2572410 3745790 5618685 7117001 11237370 14234002 21351003 35585005 42702006 71170010 106755015 213510030