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131132302442141 = 71113433046541887
BaseRepresentation
bin11101110100001110011110…
…010011100011111010011101
3122012022010101121211010201112
4131310032132103203322131
5114141432423411122031
61142521203104551405
736422665461520250
oct3564163623437235
9565263347733645
10131132302442141
11388679961310a0
121285a39a922565
135822952744140
142454ba17b7097
1510260bad7862b
hex77439e4e3e9d

131132302442141 has 32 divisors (see below), whose sum is σ = 180160301088768. Its totient is φ = 92127426632640.

The previous prime is 131132302442111. The next prime is 131132302442147. The reversal of 131132302442141 is 141244203231131.

It is not a de Polignac number, because 131132302442141 - 214 = 131132302425757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131132302442098 and 131132302442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132302442147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523227901 + ... + 1523313986.

It is an arithmetic number, because the mean of its divisors is an integer number (5630009409024).

Almost surely, 2131132302442141 is an apocalyptic number.

131132302442141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131132302442141 is a deficient number, since it is larger than the sum of its proper divisors (49027998646627).

131132302442141 is a wasteful number, since it uses less digits than its factorization.

131132302442141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046541961.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131132302442141 its reverse (141244203231131), we get a palindrome (272376505673272).

The spelling of 131132302442141 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, three hundred two million, four hundred forty-two thousand, one hundred forty-one".

Divisors: 1 7 11 13 43 77 91 143 301 473 559 1001 3311 3913 6149 43043 3046541887 21325793209 33511960757 39605044531 131001301141 234583725299 277235311717 435655489841 917009107987 1441014312551 1703016914833 3049588428887 10087100187857 11921118403831 18733186063163 131132302442141