Search a number
-
+
131586461097 = 371332852081
BaseRepresentation
bin111101010001100101…
…0100000110110101001
3110120122111010211010020
41322203022200312221
54123442113223342
6140241110311053
712335556315240
oct1724312406651
9416574124106
10131586461097
1150895143903
1221604058489
13c54077a000
146524077957
15365228b0ec
hex1ea32a0da9

131586461097 has 32 divisors (see below), whose sum is σ = 217214565120. Its totient is φ = 69408218880.

The previous prime is 131586461093. The next prime is 131586461119. The reversal of 131586461097 is 790164685131.

It is a happy number.

It is not a de Polignac number, because 131586461097 - 22 = 131586461093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131586461093) 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, 1379904 + ... + 1472177.

It is an arithmetic number, because the mean of its divisors is an integer number (6787955160).

Almost surely, 2131586461097 is an apocalyptic number.

It is an amenable number.

131586461097 is a deficient number, since it is larger than the sum of its proper divisors (85628104023).

131586461097 is an equidigital number, since it uses as much as digits as its factorization.

131586461097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852130 (or 2852104 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 131586461097 in words is "one hundred thirty-one billion, five hundred eighty-six million, four hundred sixty-one thousand, ninety-seven".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 2197 3549 6591 15379 46137 2852081 8556243 19964567 37077053 59893701 111231159 259539371 482001689 778618113 1446005067 3374011823 6266021957 10122035469 18798065871 43862153699 131586461097