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432100203140 = 225181119364697
BaseRepresentation
bin1100100100110110010…
…11011101101010000100
31112022022210202122110102
412102123023131222010
524034420123000030
6530300514543232
743134563061044
oct6223313355204
91468283678412
10432100203140
11157286333101
126b8b1597b18
1331992b62898
1416cb150b724
15b38eac9c45
hex649b2dda84

432100203140 has 24 divisors (see below), whose sum is σ = 912423751512. Its totient is φ = 171885162240.

The previous prime is 432100203137. The next prime is 432100203169. The reversal of 432100203140 is 41302001234.

It can be written as a sum of positive squares in 4 ways, for example, as 5829627904 + 426270575236 = 76352^2 + 652894^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 59678729 + ... + 59685968.

It is an arithmetic number, because the mean of its divisors is an integer number (38017656313).

Almost surely, 2432100203140 is an apocalyptic number.

It is an amenable number.

432100203140 is an abundant number, since it is smaller than the sum of its proper divisors (480323548372).

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

432100203140 is a wasteful number, since it uses less digits than its factorization.

432100203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119364887 (or 119364885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 432100203140 its reverse (41302001234), we get a palindrome (473402204374).

The spelling of 432100203140 in words is "four hundred thirty-two billion, one hundred million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 119364697 238729394 477458788 596823485 1193646970 2387293940 21605010157 43210020314 86420040628 108025050785 216050101570 432100203140