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20413311225 = 3521811917873
BaseRepresentation
bin10011000000101110…
…100110100011111001
31221200122020122122220
4103000232212203321
5313301301424400
613213332034253
71321601165616
oct230056464371
957618218586
1020413311225
11872586694a
123b58462989
131c041c9ca8
14db915350d
157e71ad7a0
hex4c0ba68f9

20413311225 has 48 divisors (see below), whose sum is σ = 34118482944. Its totient is φ = 10768896000.

The previous prime is 20413311223. The next prime is 20413311251. The reversal of 20413311225 is 52211331402.

It is not a de Polignac number, because 20413311225 - 21 = 20413311223 is a prime.

It is a super-2 number, since 2×204133112252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20413311195 and 20413311204.

It is not an unprimeable number, because it can be changed into a prime (20413311223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2588889 + ... + 2596761.

It is an arithmetic number, because the mean of its divisors is an integer number (710801728).

Almost surely, 220413311225 is an apocalyptic number.

20413311225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20413311225 is a deficient number, since it is larger than the sum of its proper divisors (13705171719).

20413311225 is a wasteful number, since it uses less digits than its factorization.

20413311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20413311225 its reverse (52211331402), we get a palindrome (72624642627).

The spelling of 20413311225 in words is "twenty billion, four hundred thirteen million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 181 191 543 573 905 955 2715 2865 4525 4775 7873 13575 14325 23619 34571 39365 103713 118095 172855 196825 518565 590475 864275 1425013 1503743 2592825 4275039 4511229 7125065 7518715 21375195 22556145 35625325 37593575 106875975 112780725 272177483 816532449 1360887415 4082662245 6804437075 20413311225