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12013144131021 = 31133008550997
BaseRepresentation
bin1010111011010000011100…
…1100000100010111001101
31120112110000200002010211220
42232310013030010113031
53033310404344143041
641314432350233553
72346630624204135
oct256640714042715
946473020063756
1012013144131021
113911822753000
1214202897b58b9
13691ab08b6cc7
142d7621545ac5
1515c751d42d66
hexaed073045cd

12013144131021 has 16 divisors (see below), whose sum is σ = 17618074644288. Its totient is φ = 7280693410320.

The previous prime is 12013144131007. The next prime is 12013144131049.

12013144131021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12013144131021 - 27 = 12013144130893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12013144130982 and 12013144131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013144131071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504271506 + ... + 1504279491.

It is an arithmetic number, because the mean of its divisors is an integer number (1101129665268).

Almost surely, 212013144131021 is an apocalyptic number.

12013144131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12013144131021 is a deficient number, since it is larger than the sum of its proper divisors (5604930513267).

12013144131021 is an equidigital number, since it uses as much as digits as its factorization.

12013144131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008551033 (or 3008551011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1201314 and 4131021, that added together give a palindrome (5332335).

The spelling of 12013144131021 in words is "twelve trillion, thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 11 33 121 363 1331 3993 3008550997 9025652991 33094060967 99282182901 364034670637 1092104011911 4004381377007 12013144131021