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141312213141 = 31123186182099
BaseRepresentation
bin1000001110011011011…
…1010100000010010101
3111111202021212012202220
42003212313110002111
54303401411310031
6144530135052553
713131563664411
oct2034667240225
9444667765686
10141312213141
1154a26073310
1223479211159
13104306b4c88
146ba7a0bd41
153a21025596
hex20e6dd4095

141312213141 has 16 divisors (see below), whose sum is σ = 214481779200. Its totient is φ = 81920123120.

The previous prime is 141312213127. The next prime is 141312213149.

141312213141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141312213141 - 25 = 141312213109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141312213149) 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 15 ways as a sum of consecutive naturals, for example, 93090291 + ... + 93091808.

It is an arithmetic number, because the mean of its divisors is an integer number (13405111200).

Almost surely, 2141312213141 is an apocalyptic number.

141312213141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141312213141 is a deficient number, since it is larger than the sum of its proper divisors (73169566059).

141312213141 is a wasteful number, since it uses less digits than its factorization.

141312213141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186182136.

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

It can be divided in two parts, 141312 and 213141, that added together give a palindrome (354453).

The spelling of 141312213141 in words is "one hundred forty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 11 23 33 69 253 759 186182099 558546297 2048003089 4282188277 6144009267 12846564831 47104071047 141312213141