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131132122331 = 71917943912547
BaseRepresentation
bin111101000100000010…
…1010110010011011011
3110112110211020000111112
41322020011112103123
54122024310403311
6140124040250535
712321401435360
oct1721005262333
9415424200445
10131132122331
1150681734421
12214b7a70a4b
13c49a5c14c2
1464bd9aa467
15362744228b
hex1e881564db

131132122331 has 32 divisors (see below), whose sum is σ = 159008256000. Its totient is φ = 105638725152.

The previous prime is 131132122321. The next prime is 131132122399. The reversal of 131132122331 is 133221231131.

It is a cyclic number.

It is not a de Polignac number, because 131132122331 - 218 = 131131860187 is a prime.

It is a super-2 number, since 2×1311321223312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131132122297 and 131132122306.

It is not an unprimeable number, because it can be changed into a prime (131132122321) 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, 10445000 + ... + 10457546.

It is an arithmetic number, because the mean of its divisors is an integer number (4969008000).

Almost surely, 2131132122331 is an apocalyptic number.

131132122331 is a deficient number, since it is larger than the sum of its proper divisors (27876133669).

131132122331 is a wasteful number, since it uses less digits than its factorization.

131132122331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13191.

The product of its digits is 648, while the sum is 23.

Adding to 131132122331 its reverse (133221231131), we get a palindrome (264353353462).

The spelling of 131132122331 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 19 133 179 439 1253 3073 3401 8341 12547 23807 58387 78581 87829 238393 550067 1493039 1668751 2245913 5508133 10451273 15721391 38556931 42672347 104654527 298706429 732581689 985955807 6901690649 18733160333 131132122331