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131124145105 = 51929277171823
BaseRepresentation
bin111101000011110011…
…0111010101111010001
3110112110021012201210201
41322013212322233101
54122020240120410
6140123153255201
712321243562222
oct1720746725721
9415407181721
10131124145105
1150678185a78
12214b5264501
13c498a5a555
1464bc8d1249
1536268b883a
hex1e879babd1

131124145105 has 32 divisors (see below), whose sum is σ = 171961459200. Its totient is φ = 95604509952.

The previous prime is 131124145079. The next prime is 131124145109. The reversal of 131124145105 is 501541421131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131124145105 - 25 = 131124145073 is a prime.

It is a super-2 number, since 2×1311241451052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131124145109) 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, 677224 + ... + 849046.

It is an arithmetic number, because the mean of its divisors is an integer number (5373795600).

Almost surely, 2131124145105 is an apocalyptic number.

It is an amenable number.

131124145105 is a deficient number, since it is larger than the sum of its proper divisors (40837314095).

131124145105 is a wasteful number, since it uses less digits than its factorization.

131124145105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172153.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 131124145105 its reverse (501541421131), we get a palindrome (632665566236).

The spelling of 131124145105 in words is "one hundred thirty-one billion, one hundred twenty-four million, one hundred forty-five thousand, one hundred five".

Divisors: 1 5 19 29 95 145 277 551 1385 2755 5263 8033 26315 40165 152627 171823 763135 859115 3264637 4982867 16323185 24914335 47594971 94674473 237974855 473372365 904304449 1380254159 4521522245 6901270795 26224829021 131124145105