Search a number
-
+
213030100 = 22529672203
BaseRepresentation
bin11001011001010…
…01010011010100
3112211212001100201
430230221103110
5414013430400
633045550244
75164504003
oct1454512324
9484761321
10213030100
11aa282738
125b415384
133519a11a
1420414c3a
1513a8006a
hexcb294d4

213030100 has 36 divisors (see below), whose sum is σ = 462963424. Its totient is φ = 85085280.

The previous prime is 213030091. The next prime is 213030107. The reversal of 213030100 is 1030312.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 95599 + ... + 97801.

Almost surely, 2213030100 is an apocalyptic number.

213030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213030100 is an abundant number, since it is smaller than the sum of its proper divisors (249933324).

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

213030100 is a wasteful number, since it uses less digits than its factorization.

213030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213030100 is about 14595.5506919061. The cubic root of 213030100 is about 597.2373921111.

Adding to 213030100 its reverse (1030312), we get a palindrome (214060412).

The spelling of 213030100 in words is "two hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 967 1934 2203 3868 4406 4835 8812 9670 11015 19340 22030 24175 44060 48350 55075 96700 110150 220300 2130301 4260602 8521204 10651505 21303010 42606020 53257525 106515050 213030100