Search a number
-
+
213122300 = 22522131223
BaseRepresentation
bin11001011001111…
…11110011111100
3112212000201211112
430230333303330
5414024403200
633051541152
75165336546
oct1454776374
9485021745
10213122300
11aa335a36
125b45a7b8
1335200091
142043a696
1513a9c535
hexcb3fcfc

213122300 has 18 divisors (see below), whose sum is σ = 462475608. Its totient is φ = 85248880.

The previous prime is 213122281. The next prime is 213122309. The reversal of 213122300 is 3221312.

It is a happy number.

It is a super-2 number, since 2×2131223002 = 90842229514580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065512 + ... + 1065711.

Almost surely, 2213122300 is an apocalyptic number.

213122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122300 is an abundant number, since it is smaller than the sum of its proper divisors (249353308).

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

213122300 is a wasteful number, since it uses less digits than its factorization.

213122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131237 (or 2131230 counting only the distinct ones).

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

The square root of 213122300 is about 14598.7088470179. The cubic root of 213122300 is about 597.3235416667.

Adding to 213122300 its reverse (3221312), we get a palindrome (216343612).

The spelling of 213122300 in words is "two hundred thirteen million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2131223 4262446 8524892 10656115 21312230 42624460 53280575 106561150 213122300