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13213032434201 = 412393355737861
BaseRepresentation
bin1100000001000110011000…
…0110101100101000011001
31201210011010221121110121002
43000101212012230220121
53212440242300343301
644033552220554345
72532416155410365
oct300214606545031
951704127543532
1013213032434201
114234685389676
1215949359b29b5
1374aca2cc4202
1433972acb62a5
1517da7bd1816b
hexc04661aca19

13213032434201 has 16 divisors (see below), whose sum is σ = 13545122321808. Its totient is φ = 12881413708800.

The previous prime is 13213032434177. The next prime is 13213032434267. The reversal of 13213032434201 is 10243423031231.

It can be written as a sum of positive squares in 8 ways, for example, as 3045639270976 + 10167393163225 = 1745176^2 + 3188635^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213032434201 - 238 = 12938154527257 is a prime.

It is a super-2 number, since 2×132130324342012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13213032431201) 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 15 ways as a sum of consecutive naturals, for example, 348969011 + ... + 349006871.

It is an arithmetic number, because the mean of its divisors is an integer number (846570145113).

Almost surely, 213213032434201 is an apocalyptic number.

It is an amenable number.

13213032434201 is a deficient number, since it is larger than the sum of its proper divisors (332089887607).

13213032434201 is a wasteful number, since it uses less digits than its factorization.

13213032434201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43852.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13213032434201 its reverse (10243423031231), we get a palindrome (23456455465432).

The spelling of 13213032434201 in words is "thirteen trillion, two hundred thirteen billion, thirty-two million, four hundred thirty-four thousand, two hundred one".

Divisors: 1 41 2393 3557 37861 98113 145837 1552301 8511901 90601373 134671577 348987941 3714656293 5521534657 322269083761 13213032434201