Search a number
-
+
20135244125 = 53172557377
BaseRepresentation
bin10010110000001001…
…110111000101011101
31220222021000101022102
4102300021313011131
5312214110303000
613130000054445
71311653515433
oct226011670535
956867011272
1020135244125
1185a2902a27
123a9b304425
131b8b70b349
14d9024cd53
157cca833d5
hex4b027715d

20135244125 has 24 divisors (see below), whose sum is σ = 26693947176. Its totient is φ = 15160627200.

The previous prime is 20135244097. The next prime is 20135244133. The reversal of 20135244125 is 52144253102.

It can be written as a sum of positive squares in 12 ways, for example, as 11590460281 + 8544783844 = 107659^2 + 92438^2 .

It is not a de Polignac number, because 20135244125 - 212 = 20135240029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242564 + ... + 314813.

It is an arithmetic number, because the mean of its divisors is an integer number (1112247799).

Almost surely, 220135244125 is an apocalyptic number.

20135244125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20135244125 is a deficient number, since it is larger than the sum of its proper divisors (6558703051).

20135244125 is an equidigital number, since it uses as much as digits as its factorization.

20135244125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557426 (or 557399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 20135244125 its reverse (52144253102), we get a palindrome (72279497227).

The spelling of 20135244125 in words is "twenty billion, one hundred thirty-five million, two hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 1445 2125 7225 36125 557377 2786885 9475409 13934425 47377045 69672125 161081953 236885225 805409765 1184426125 4027048825 20135244125