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13213222231231 = 11172331499198599
BaseRepresentation
bin1100000001000111000101…
…1010101101110010111111
31201210011122011202011011201
43000101301122231302333
53212441134342344411
644034023121000331
72532423651561451
oct300216132556277
951704564664151
1013213222231231
114234772532a20
1215949894830a7
1374b003418449
143397481a02d1
1517da8d8093c1
hexc04716adcbf

13213222231231 has 64 divisors (see below), whose sum is σ = 16472678400000. Its totient is φ = 10444030502400.

The previous prime is 13213222231213. The next prime is 13213222231259.

13213222231231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13213222231231 - 27 = 13213222231103 is a prime.

It is a super-2 number, since 2×132132222312312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13213222231231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213222231211) 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 63 ways as a sum of consecutive naturals, for example, 66432870 + ... + 66631468.

It is an arithmetic number, because the mean of its divisors is an integer number (257385600000).

Almost surely, 213213222231231 is an apocalyptic number.

13213222231231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213222231231 is a deficient number, since it is larger than the sum of its proper divisors (3259456168769).

13213222231231 is a wasteful number, since it uses less digits than its factorization.

13213222231231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199180.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 1321322 and 2231231, that added together give a palindrome (3552553).

The spelling of 13213222231231 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 11 17 23 31 187 253 341 391 499 527 713 4301 5489 5797 7843 8483 11477 12121 15469 93313 126247 133331 170159 195109 198599 262973 355787 2146199 2184589 2892703 3376183 3913657 4567777 6048379 6156569 37138013 50245547 66532169 67722259 77652209 99100901 104661673 141601087 854174299 1090109911 1151278403 1557611957 1684715317 2279320723 2407218479 3072127931 18531868487 25072527953 26479403269 33793407241 38748452291 52226174827 70658942413 426232975201 574487923097 777248366543 1201202021021 13213222231231