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20400201305 = 511289378869
BaseRepresentation
bin10010111111111100…
…100101111001011001
31221122201120121020022
4102333330211321121
5313234422420210
613212143040225
71321351564361
oct227774457131
957581517208
1020400201305
118719422200
123b53ba0075
131c01589a43
14db74dd9a1
157e5e6e155
hex4bff25e59

20400201305 has 24 divisors (see below), whose sum is σ = 27210443400. Its totient is φ = 14669768960.

The previous prime is 20400201301. The next prime is 20400201307. The reversal of 20400201305 is 50310200402.

It can be written as a sum of positive squares in 4 ways, for example, as 4648336 + 20395552969 = 2156^2 + 142813^2 .

It is not a de Polignac number, because 20400201305 - 22 = 20400201301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20400201301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135590 + ... + 243279.

It is an arithmetic number, because the mean of its divisors is an integer number (1133768475).

Almost surely, 220400201305 is an apocalyptic number.

It is an amenable number.

20400201305 is a deficient number, since it is larger than the sum of its proper divisors (6810242095).

20400201305 is a wasteful number, since it uses less digits than its factorization.

20400201305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378985 (or 378974 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 20400201305 its reverse (50310200402), we get a palindrome (70710401707).

The spelling of 20400201305 in words is "twenty billion, four hundred million, two hundred one thousand, three hundred five".

Divisors: 1 5 11 55 89 121 445 605 979 4895 10769 53845 378869 1894345 4167559 20837795 33719341 45843149 168596705 229215745 370912751 1854563755 4080040261 20400201305