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213031433400 = 23352355052389
BaseRepresentation
bin1100011001100110101…
…0011011010010111000
3202100212112020002110220
43012121222123102320
511442242021332100
6241510522540040
721251055210132
oct3063152332270
9670775202426
10213031433400
1182389765a75
1235353967620
1317120078406
14a44cab0052
15581c534aa0
hex3199a9b4b8

213031433400 has 48 divisors (see below), whose sum is σ = 660397445400. Its totient is φ = 56808382080.

The previous prime is 213031433393. The next prime is 213031433423. The reversal of 213031433400 is 4334130312.

213031433400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 177525595 + ... + 177526794.

Almost surely, 2213031433400 is an apocalyptic number.

213031433400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213031433400 is an abundant number, since it is smaller than the sum of its proper divisors (447366012000).

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

213031433400 is a wasteful number, since it uses less digits than its factorization.

213031433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355052408 (or 355052399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213031433400 its reverse (4334130312), we get a palindrome (217365563712).

The spelling of 213031433400 in words is "two hundred thirteen billion, thirty-one million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 355052389 710104778 1065157167 1420209556 1775261945 2130314334 2840419112 3550523890 4260628668 5325785835 7101047780 8521257336 8876309725 10651571670 14202095560 17752619450 21303143340 26628929175 35505238900 42606286680 53257858350 71010477800 106515716700 213031433400