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420234324100 = 22525697385489
BaseRepresentation
bin1100001110101111110…
…10101110100010000100
31111011200212000112110221
412013113322232202010
523341114441332400
6521015235554124
742234540550363
oct6072772564204
91434625015427
10420234324100
111522473585a8
126953b75b944
133082172a496
14164a76437da
15ade7eedc1a
hex61d7eae884

420234324100 has 36 divisors (see below), whose sum is σ = 913511258100. Its totient is φ = 167798287360.

The previous prime is 420234324089. The next prime is 420234324157. The reversal of 420234324100 is 1423432024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 126485499904 + 293748824196 = 355648^2 + 541986^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635845 + ... + 3749644.

It is an arithmetic number, because the mean of its divisors is an integer number (25375312725).

Almost surely, 2420234324100 is an apocalyptic number.

It is an amenable number.

420234324100 is an abundant number, since it is smaller than the sum of its proper divisors (493276934000).

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

420234324100 is a wasteful number, since it uses less digits than its factorization.

420234324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386072 (or 7386065 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 420234324100 its reverse (1423432024), we get a palindrome (421657756124).

The spelling of 420234324100 in words is "four hundred twenty billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2845 5690 11380 14225 28450 56900 7385489 14770978 29541956 36927445 73854890 147709780 184637225 369274450 738548900 4202343241 8404686482 16809372964 21011716205 42023432410 84046864820 105058581025 210117162050 420234324100