Search a number
-
+
20312006325 = 35213136115307
BaseRepresentation
bin10010111010101100…
…001001111010110101
31221102120121211110120
4102322230021322311
5313044333200300
613155312442153
71316231130222
oct227254117265
957376554416
1020312006325
118683663a96
123b2a549359
131bb921a570
14da9902949
157dd34c3a0
hex4bab09eb5

20312006325 has 48 divisors (see below), whose sum is σ = 36194725056. Its totient is φ = 9991756800.

The previous prime is 20312006321. The next prime is 20312006329. The reversal of 20312006325 is 52360021302.

It is an interprime number because it is at equal distance from previous prime (20312006321) and next prime (20312006329).

It is not a de Polignac number, because 20312006325 - 22 = 20312006321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20312006295 and 20312006304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312006321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1319322 + ... + 1334628.

It is an arithmetic number, because the mean of its divisors is an integer number (754056772).

Almost surely, 220312006325 is an apocalyptic number.

20312006325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20312006325 is a deficient number, since it is larger than the sum of its proper divisors (15882718731).

20312006325 is a wasteful number, since it uses less digits than its factorization.

20312006325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16689 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20312006325 its reverse (52360021302), we get a palindrome (72672027627).

The spelling of 20312006325 in words is "twenty billion, three hundred twelve million, six thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 1361 4083 6805 15307 17693 20415 34025 45921 53079 76535 88465 102075 198991 229605 265395 382675 442325 596973 994955 1148025 1326975 2984865 4974775 14924325 20832827 62498481 104164135 270826751 312492405 520820675 812480253 1354133755 1562462025 4062401265 6770668775 20312006325