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131414122034 = 21348821103529
BaseRepresentation
bin111101001100011100…
…1000101111000110010
3110120012110212002100222
41322120321011320302
54123114003401114
6140212032413042
712331364415056
oct1723071057062
9416173762328
10131414122034
1150806933a28
12215763a7182
13c513b59130
146509215c66
15364209798e
hex1e98e45e32

131414122034 has 16 divisors (see below), whose sum is σ = 212290749720. Its totient is φ = 60650843520.

The previous prime is 131414122031. The next prime is 131414122051. The reversal of 131414122034 is 430221414131.

131414122034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71019585025 + 60394537009 = 266495^2 + 245753^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 131414121994 and 131414122012.

It is not an unprimeable number, because it can be changed into a prime (131414122031) 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 7 ways as a sum of consecutive naturals, for example, 1217582 + ... + 1321110.

Almost surely, 2131414122034 is an apocalyptic number.

131414122034 is a deficient number, since it is larger than the sum of its proper divisors (80876627686).

131414122034 is a wasteful number, since it uses less digits than its factorization.

131414122034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152365.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131414122034 its reverse (430221414131), we get a palindrome (561635536165).

The spelling of 131414122034 in words is "one hundred thirty-one billion, four hundred fourteen million, one hundred twenty-two thousand, thirty-four".

Divisors: 1 2 13 26 48821 97642 103529 207058 634673 1269346 1345877 2691754 5054389309 10108778618 65707061017 131414122034