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131435331101 = 432233930391
BaseRepresentation
bin111101001101000100…
…1111111111000011101
3110120020221202121201222
41322122021333320131
54123134421043401
6140214111143125
712332042611064
oct1723211777035
9416227677658
10131435331101
11508178aa688
1221581514aa5
13c518373989
14650bd771db
153643d86c1b
hex1e9a27fe1d

131435331101 has 12 divisors (see below), whose sum is σ = 134625011040. Its totient is φ = 128319586920.

The previous prime is 131435331091. The next prime is 131435331107. The reversal of 131435331101 is 101133534131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131435331101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4309616 + ... + 4340006.

It is an arithmetic number, because the mean of its divisors is an integer number (11218750920).

Almost surely, 2131435331101 is an apocalyptic number.

It is an amenable number.

131435331101 is a deficient number, since it is larger than the sum of its proper divisors (3189679939).

131435331101 is an equidigital number, since it uses as much as digits as its factorization.

131435331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816 (or 32773 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 131435331101 its reverse (101133534131), we get a palindrome (232568865232).

The spelling of 131435331101 in words is "one hundred thirty-one billion, four hundred thirty-five million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 43 1849 2339 30391 100577 1306813 4324811 56192959 71084549 3056635607 131435331101