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131434122441 = 3973571126481
BaseRepresentation
bin111101001101000010…
…1011000110011001001
3110120020212111012202210
41322122011120303021
54123134113404231
6140214025215333
712332026415226
oct1723205306311
9416225435683
10131434122441
1150817154596
1221581031549
13c51803c7ab
14650bb4094d
153643be8a46
hex1e9a158cc9

131434122441 has 16 divisors (see below), whose sum is σ = 177103131968. Its totient is φ = 86694451200.

The previous prime is 131434122419. The next prime is 131434122461. The reversal of 131434122441 is 144221434131.

It is a happy number.

It is not a de Polignac number, because 131434122441 - 25 = 131434122409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131434122399 and 131434122408.

It is not an unprimeable number, because it can be changed into a prime (131434122401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975921 + ... + 1102401.

It is an arithmetic number, because the mean of its divisors is an integer number (11068945748).

Almost surely, 2131434122441 is an apocalyptic number.

It is an amenable number.

131434122441 is a deficient number, since it is larger than the sum of its proper divisors (45669009527).

131434122441 is a wasteful number, since it uses less digits than its factorization.

131434122441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130152.

The product of its digits is 9216, while the sum is 30.

Adding to 131434122441 its reverse (144221434131), we get a palindrome (275655556572).

The spelling of 131434122441 in words is "one hundred thirty-one billion, four hundred thirty-four million, one hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 97 291 3571 10713 126481 346387 379443 1039161 12268657 36805971 451663651 1354990953 43811374147 131434122441