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13413010020431 = 76148896425077
BaseRepresentation
bin1100001100101111010110…
…1100101001100001001111
31202111021022201201102011212
43003023311230221201033
53224224321031123211
644305503550405035
72553025615013210
oct303136554514117
952437281642155
1013413010020431
114301475530a9a
121607645b0077b
13763ac27963a8
1434529c001407
15183d8331138b
hexc32f5b2984f

13413010020431 has 16 divisors (see below), whose sum is σ = 15583641184320. Its totient is φ = 11306077735680.

The previous prime is 13413010020407. The next prime is 13413010020437. The reversal of 13413010020431 is 13402001031431.

It is a de Polignac number, because none of the positive numbers 2k-13413010020431 is a prime.

It is a super-2 number, since 2×134130100204312 (a number of 27 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 = 13413010020397 and 13413010020406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413010020437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124936 + ... + 5300141.

It is an arithmetic number, because the mean of its divisors is an integer number (973977574020).

Almost surely, 213413010020431 is an apocalyptic number.

13413010020431 is a deficient number, since it is larger than the sum of its proper divisors (2170631163889).

13413010020431 is an equidigital number, since it uses as much as digits as its factorization.

13413010020431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430034.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13413010020431 its reverse (13402001031431), we get a palindrome (26815011051862).

The spelling of 13413010020431 in words is "thirteen trillion, four hundred thirteen billion, ten million, twenty thousand, four hundred thirty-one".

Divisors: 1 7 61 427 4889 34223 298229 2087603 6425077 44975539 391929697 2743507879 31412201453 219885410171 1916144288633 13413010020431