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13212131120231 = 172311146999089
BaseRepresentation
bin1100000001000011000001…
…1000011101010001100111
31201210001211010121222021012
43000100300120131101213
53212431421031321411
644033322542412435
72532354632360021
oct300206030352147
951701733558235
1013212131120231
11423426263a09a
121594723b9111b
1374ab8b35a734
143396832d7011
1517da27b2c18b
hexc043061d467

13212131120231 has 12 divisors (see below), whose sum is σ = 14080160836560. Its totient is φ = 12394963100160.

The previous prime is 13212131120219. The next prime is 13212131120233. The reversal of 13212131120231 is 13202113121231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-13212131120231 is a prime.

It is a super-2 number, since 2×132121311202312 (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 = 13212131120197 and 13212131120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212131120233) 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 11 ways as a sum of consecutive naturals, for example, 73409666 + ... + 73589423.

It is an arithmetic number, because the mean of its divisors is an integer number (1173346736380).

Almost surely, 213212131120231 is an apocalyptic number.

13212131120231 is a deficient number, since it is larger than the sum of its proper divisors (868029716329).

13212131120231 is a wasteful number, since it uses less digits than its factorization.

13212131120231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146999434 (or 146999417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13212131120231 its reverse (13202113121231), we get a palindrome (26414244241462).

The spelling of 13212131120231 in words is "thirteen trillion, two hundred twelve billion, one hundred thirty-one million, one hundred twenty thousand, two hundred thirty-one".

Divisors: 1 17 289 311 5287 89879 146999089 2498984513 42482736721 45716716679 777184183543 13212131120231