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10404204240200 = 2352129414019861
BaseRepresentation
bin1001011101100110101011…
…1001011101110101001000
31100211122001212211011011012
42113121222321131311020
52330430302241141300
634043343032423052
72122451610606341
oct227315271356510
940748055734135
1010404204240200
1133514420692a1
1212004a2b47a88
135a615c7c8554
1427d7cd80d0c8
151309859a7435
hex9766ae5dd48

10404204240200 has 48 divisors (see below), whose sum is σ = 24191650111860. Its totient is φ = 4161359072000.

The previous prime is 10404204240151. The next prime is 10404204240223. The reversal of 10404204240200 is 204240240401.

It can be written as a sum of positive squares in 6 ways, for example, as 1994099839876 + 8410104400324 = 1412126^2 + 2900018^2 .

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, 578270 + ... + 4598130.

Almost surely, 210404204240200 is an apocalyptic number.

10404204240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404204240200 is an abundant number, since it is smaller than the sum of its proper divisors (13787445871660).

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

10404204240200 is a wasteful number, since it uses less digits than its factorization.

10404204240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032818 (or 4032809 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 10404204240200 its reverse (204240240401), we get a palindrome (10608444480601).

The spelling of 10404204240200 in words is "ten trillion, four hundred four billion, two hundred four million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 12941 25882 51764 64705 103528 129410 258820 323525 517640 647050 1294100 2588200 4019861 8039722 16079444 20099305 32158888 40198610 80397220 100496525 160794440 200993050 401986100 803972200 52021021201 104042042402 208084084804 260105106005 416168169608 520210212010 1040420424020 1300525530025 2080840848040 2601051060050 5202102120100 10404204240200