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213432334300 = 22527732761091
BaseRepresentation
bin1100011011000110001…
…1101111011111011100
3202101220110120222010101
43012301203233133130
511444102134144200
6242014403350444
721264023623333
oct3066143573734
9671813528111
10213432334300
1182574a96829
1235446082424
1317185143a93
14a48a02ad1a
15584282526a
hex31b18ef7dc

213432334300 has 36 divisors (see below), whose sum is σ = 463747490136. Its totient is φ = 85262459200.

The previous prime is 213432334277. The next prime is 213432334301. The reversal of 213432334300 is 3433234312.

It is a happy number.

213432334300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2134323343002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213432334301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303246 + ... + 1457845.

It is an arithmetic number, because the mean of its divisors is an integer number (12881874726).

Almost surely, 2213432334300 is an apocalyptic number.

213432334300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213432334300 is an abundant number, since it is smaller than the sum of its proper divisors (250315155836).

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

213432334300 is a wasteful number, since it uses less digits than its factorization.

213432334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761878 (or 2761871 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 213432334300 its reverse (3433234312), we get a palindrome (216865568612).

The spelling of 213432334300 in words is "two hundred thirteen billion, four hundred thirty-two million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 773 1546 3092 3865 7730 15460 19325 38650 77300 2761091 5522182 11044364 13805455 27610910 55221820 69027275 138054550 276109100 2134323343 4268646686 8537293372 10671616715 21343233430 42686466860 53358083575 106716167150 213432334300