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20363604131 = 13347199991
BaseRepresentation
bin10010111101110000…
…111111000010100011
31221120011201021100102
4102331300333002203
5313201040313011
613204354413015
71320425531153
oct227560770243
957504637312
1020363604131
1186aa7a6202
123b4389116b
131bc6b15000
14db26d4763
157e2b4073b
hex4bdc3f0a3

20363604131 has 32 divisors (see below), whose sum is σ = 22665216000. Its totient is φ = 18286313760.

The previous prime is 20363604119. The next prime is 20363604169. The reversal of 20363604131 is 13140636302.

It is not a de Polignac number, because 20363604131 - 210 = 20363603107 is a prime.

It is a super-2 number, since 2×203636041312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20363604094 and 20363604103.

It is not an unprimeable number, because it can be changed into a prime (20363604101) 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 31 ways as a sum of consecutive naturals, for example, 20548046 + ... + 20549036.

It is an arithmetic number, because the mean of its divisors is an integer number (708288000).

Almost surely, 220363604131 is an apocalyptic number.

20363604131 is a deficient number, since it is larger than the sum of its proper divisors (2301611869).

20363604131 is an equidigital number, since it uses as much as digits as its factorization.

20363604131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 20363604131 in words is "twenty billion, three hundred sixty-three million, six hundred four thousand, one hundred thirty-one".

Divisors: 1 13 47 169 199 611 991 2197 2587 7943 9353 12883 33631 46577 103259 121589 167479 197209 437203 605501 1580657 2177227 2563717 7871513 9268823 20548541 33328321 102329669 120494699 433268173 1566431087 20363604131