Search a number
-
+
20120032125 = 33535961491
BaseRepresentation
bin10010101111001111…
…110101001101111101
31220221012101112101000
4102233033311031331
5312201212012000
613124254040513
71311410310534
oct225717651575
956835345330
1020120032125
118595262a26
123a961a9139
131b8851336b
14d8c20d31b
157cb57b000
hex4af3f537d

20120032125 has 32 divisors (see below), whose sum is σ = 37199710080. Its totient is φ = 10730682000.

The previous prime is 20120032123. The next prime is 20120032133. The reversal of 20120032125 is 52123002102.

It is not a de Polignac number, because 20120032125 - 21 = 20120032123 is a prime.

It is a super-2 number, since 2×201200321252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20120032098 and 20120032107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2977371 + ... + 2984120.

It is an arithmetic number, because the mean of its divisors is an integer number (1162490940).

Almost surely, 220120032125 is an apocalyptic number.

20120032125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20120032125 is a deficient number, since it is larger than the sum of its proper divisors (17079677955).

20120032125 is an equidigital number, since it uses as much as digits as its factorization.

20120032125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961515 (or 5961499 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20120032125 its reverse (52123002102), we get a palindrome (72243034227).

The spelling of 20120032125 in words is "twenty billion, one hundred twenty million, thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 5961491 17884473 29807455 53653419 89422365 149037275 160960257 268267095 447111825 745186375 804801285 1341335475 2235559125 4024006425 6706677375 20120032125