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213033213324 = 22331972529753
BaseRepresentation
bin1100011001100111000…
…1001101110110001100
3202100212122120112002000
43012121301031312030
511442243000311244
6241511025032300
721251106302331
oct3063161156614
9670778515060
10213033213324
118238a771288
1235354485690
131712054c619
14a44d014988
15581c787169
hex3199c4dd8c

213033213324 has 24 divisors (see below), whose sum is σ = 552308331120. Its totient is φ = 71011071072.

The previous prime is 213033213301. The next prime is 213033213361. The reversal of 213033213324 is 423312330312.

213033213324 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 321 + 332 + 4 = 666.

213033213324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130332133242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 986264769 + ... + 986264984.

It is an arithmetic number, because the mean of its divisors is an integer number (23012847130).

Almost surely, 2213033213324 is an apocalyptic number.

It is an amenable number.

213033213324 is an abundant number, since it is smaller than the sum of its proper divisors (339275117796).

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

213033213324 is a wasteful number, since it uses less digits than its factorization.

213033213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972529766 (or 1972529758 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213033213324 its reverse (423312330312), we get a palindrome (636345543636).

The spelling of 213033213324 in words is "two hundred thirteen billion, thirty-three million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1972529753 3945059506 5917589259 7890119012 11835178518 17752767777 23670357036 35505535554 53258303331 71011071108 106516606662 213033213324