Search a number
-
+
120203030030525 = 52132121323454593
BaseRepresentation
bin11011010101001011110010…
…111001111110100010111101
3120202121022000211121012220122
4123111023302321332202331
5111223401301141434100
61103352302031024325
734214245066030331
oct3325136271764275
9522538024535818
10120203030030525
1135333900847172
121159419b66b0a5
13520c135416200
142197c017337c1
15dd6b53b01985
hex6d52f2e7e8bd

120203030030525 has 36 divisors (see below), whose sum is σ = 161532304879068. Its totient is φ = 88692132372480.

The previous prime is 120203030030521. The next prime is 120203030030599. The reversal of 120203030030525 is 525030030302021.

It can be written as a sum of positive squares in 18 ways, for example, as 111962237850841 + 8240792179684 = 10581221^2 + 2870678^2 .

It is not a de Polignac number, because 120203030030525 - 22 = 120203030030521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120203030030494 and 120203030030503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120203030030521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6602372 + ... + 16852221.

It is an arithmetic number, because the mean of its divisors is an integer number (4487008468863).

Almost surely, 2120203030030525 is an apocalyptic number.

It is an amenable number.

120203030030525 is a deficient number, since it is larger than the sum of its proper divisors (41329274848543).

120203030030525 is a wasteful number, since it uses less digits than its factorization.

120203030030525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455842 (or 23455824 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 120203030030525 its reverse (525030030302021), we get a palindrome (645233060332546).

The spelling of 120203030030525 in words is "one hundred twenty trillion, two hundred three billion, thirty million, thirty thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1213 4225 6065 15769 30325 78845 204997 394225 1024985 5124925 23454593 117272965 304909709 586364825 1524548545 3963826217 7622742725 19819131085 28450421309 99095655425 142252106545 369855477017 711260532725 1849277385085 4808121201221 9246386925425 24040606006105 120203030030525