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12013312221331 = 531492635784221
BaseRepresentation
bin1010111011010001000100…
…1101010010000010010011
31120112110110101101000101221
42232310101031102002103
53033311230412040311
641314501153105511
72346635035020301
oct256642115220223
946473411330357
1012013312221331
1139118a9620813
121420315b58297
13691b0967b025
142d76399bd271
1515c761997671
hexaed11352093

12013312221331 has 16 divisors (see below), whose sum is σ = 12368980324800. Its totient is φ = 11663023565440.

The previous prime is 12013312221283. The next prime is 12013312221371. The reversal of 12013312221331 is 13312221331021.

It is a cyclic number.

It is not a de Polignac number, because 12013312221331 - 219 = 12013311697043 is a prime.

It is a super-2 number, since 2×120133122213312 (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 = 12013312221296 and 12013312221305.

It is not an unprimeable number, because it can be changed into a prime (12013312221371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815200 + ... + 4969021.

It is an arithmetic number, because the mean of its divisors is an integer number (773061270300).

Almost surely, 212013312221331 is an apocalyptic number.

12013312221331 is a deficient number, since it is larger than the sum of its proper divisors (355668103469).

12013312221331 is a wasteful number, since it uses less digits than its factorization.

12013312221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784686.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12013312221331 its reverse (13312221331021), we get a palindrome (25325533552352).

The spelling of 12013312221331 in words is "twelve trillion, thirteen billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 53 149 263 7897 13939 39187 2076911 5784221 306563713 861848929 1521250123 45677993237 80626256519 226666268327 12013312221331