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13141220020 = 2251237531173
BaseRepresentation
bin11000011110100011…
…10001101010110100
31020220211112010220121
430033101301222310
5203403123020040
610011553541324
7643436345545
oct141721615264
936824463817
1013141220020
115633970115
122668b74844
131315718446
148c940a4cc
1551da49c4a
hex30f471ab4

13141220020 has 24 divisors (see below), whose sum is σ = 27618923304. Its totient is φ = 5252228736.

The previous prime is 13141220017. The next prime is 13141220041. The reversal of 13141220020 is 2002214131.

13141220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2888847504 + 10252372516 = 53748^2 + 101254^2 .

It is a super-2 number, since 2×131412200202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13141219976 and 13141220003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 240847 + ... + 290326.

It is an arithmetic number, because the mean of its divisors is an integer number (1150788471).

Almost surely, 213141220020 is an apocalyptic number.

13141220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141220020 is an abundant number, since it is smaller than the sum of its proper divisors (14477703284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13141220020 is a wasteful number, since it uses less digits than its factorization.

13141220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532419 (or 532417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13141220020 its reverse (2002214131), we get a palindrome (15143434151).

The spelling of 13141220020 in words is "thirteen billion, one hundred forty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1237 2474 4948 6185 12370 24740 531173 1062346 2124692 2655865 5311730 10623460 657061001 1314122002 2628244004 3285305005 6570610010 13141220020