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2130413125 = 543408661
BaseRepresentation
bin111111011111011…
…1000011001000101
312111110202012101211
41332332320121011
513330341210000
6551222051421
7103536132661
oct17676703105
95443665354
102130413125
119a3620a05
124b5579b71
1327c4a8ba9
14162d258a1
15c70737ba
hex7efb8645

2130413125 has 10 divisors (see below), whose sum is σ = 2662165022. Its totient is φ = 1704330000.

The previous prime is 2130413101. The next prime is 2130413147. The reversal of 2130413125 is 5213140312.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1637173444 + 493239681 = 40462^2 + 22209^2 .

It is not a de Polignac number, because 2130413125 - 211 = 2130411077 is a prime.

It is a super-3 number, since 3×21304131253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2130413096 and 2130413105.

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 9 ways as a sum of consecutive naturals, for example, 1703706 + ... + 1704955.

Almost surely, 22130413125 is an apocalyptic number.

2130413125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2130413125 is a deficient number, since it is larger than the sum of its proper divisors (531751897).

2130413125 is an frugal number, since it uses more digits than its factorization.

2130413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408681 (or 3408666 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2130413125 is about 46156.3985271815. The cubic root of 2130413125 is about 1286.7315299778.

Adding to 2130413125 its reverse (5213140312), we get a palindrome (7343553437).

The spelling of 2130413125 in words is "two billion, one hundred thirty million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 3408661 17043305 85216525 426082625 2130413125