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130434546125 = 5313653122921
BaseRepresentation
bin111100101111010000…
…0010011100111001101
3110110200012121110211202
41321132200103213031
54114112220434000
6135530520555245
712265201230452
oct1713640234715
9413605543752
10130434546125
11503539a0064
1221342322b25
13c3b8c20410
1464550a3829
1535d609cdd5
hex1e5e8139cd

130434546125 has 32 divisors (see below), whose sum is σ = 175573917792. Its totient is φ = 96172608000.

The previous prime is 130434546119. The next prime is 130434546149. The reversal of 130434546125 is 521645434031.

It can be written as a sum of positive squares in 16 ways, for example, as 130397543236 + 37002889 = 361106^2 + 6083^2 .

It is not a de Polignac number, because 130434546125 - 26 = 130434546061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999665 + ... + 1122585.

It is an arithmetic number, because the mean of its divisors is an integer number (5486684931).

Almost surely, 2130434546125 is an apocalyptic number.

It is an amenable number.

130434546125 is a deficient number, since it is larger than the sum of its proper divisors (45139371667).

130434546125 is a wasteful number, since it uses less digits than its factorization.

130434546125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123602 (or 123592 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 130434546125 in words is "one hundred thirty billion, four hundred thirty-four million, five hundred forty-six thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 653 1625 3265 8489 16325 42445 81625 122921 212225 614605 1061125 1597973 3073025 7989865 15365125 39949325 80267413 199746625 401337065 1043476369 2006685325 5217381845 10033426625 26086909225 130434546125