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13013032212221 = 232173142192513
BaseRepresentation
bin1011110101011101010100…
…1010011001011011111101
31201002000220120220111121012
42331113111022121123331
53201201142221242341
643402034322045005
72512106032520246
oct275272512313375
951060816814535
1013013032212221
114167883486718
12156201a1a9765
1373517b927cb2
1432db96b77ccd
1517877384d0eb
hexbd5d52996fd

13013032212221 has 12 divisors (see below), whose sum is σ = 13682048082108. Its totient is φ = 12375298704384.

The previous prime is 13013032212149. The next prime is 13013032212347. The reversal of 13013032212221 is 12221223031031.

It can be written as a sum of positive squares in 2 ways, for example, as 11479424896900 + 1533607315321 = 3388130^2 + 1238389^2 .

It is not a de Polignac number, because 13013032212221 - 214 = 13013032195837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013032212421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71004740 + ... + 71187773.

It is an arithmetic number, because the mean of its divisors is an integer number (1140170673509).

Almost surely, 213013032212221 is an apocalyptic number.

It is an amenable number.

13013032212221 is a deficient number, since it is larger than the sum of its proper divisors (669015869887).

13013032212221 is a wasteful number, since it uses less digits than its factorization.

13013032212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142192732 (or 142192709 counting only the distinct ones).

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

Adding to 13013032212221 its reverse (12221223031031), we get a palindrome (25234255243252).

The spelling of 13013032212221 in words is "thirteen trillion, thirteen billion, thirty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 23 173 529 3979 91517 142192513 3270427799 24599304749 75219839377 565784009227 13013032212221