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213012300 = 223525313397
BaseRepresentation
bin11001011001001…
…00111101001100
3112211211010221110
430230210331030
5414012343200
633045332020
75164401054
oct1454447514
9484733843
10213012300
11aa270326
125b407010
1335191ca7
142040c564
1513a79b50
hexcb24f4c

213012300 has 72 divisors (see below), whose sum is σ = 627991056. Its totient is φ = 55727360.

The previous prime is 213012299. The next prime is 213012301. The reversal of 213012300 is 3210312.

It is a happy number.

213012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213012299) and next prime (213012301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (213012301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9202 + ... + 22598.

It is an arithmetic number, because the mean of its divisors is an integer number (8722098).

Almost surely, 2213012300 is an apocalyptic number.

213012300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313995528).

213012300 is an abundant number, since it is smaller than the sum of its proper divisors (414978756).

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

213012300 is a wasteful number, since it uses less digits than its factorization.

213012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213012300 is about 14594.9409042997. The cubic root of 213012300 is about 597.2207573387.

Adding to 213012300 its reverse (3210312), we get a palindrome (216222612).

It can be divided in two parts, 213012 and 300, that added together give a palindrome (213312).

The spelling of 213012300 in words is "two hundred thirteen million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 13397 15900 26794 40191 53588 66985 80382 133970 160764 200955 267940 334925 401910 669850 710041 803820 1004775 1339700 1420082 2009550 2130123 2840164 3550205 4019100 4260246 7100410 8520492 10650615 14200820 17751025 21301230 35502050 42602460 53253075 71004100 106506150 213012300