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131224001441 = 13234110704299
BaseRepresentation
bin111101000110110001…
…1110101101110100001
3110112201020002221221112
41322031203311232201
54122221321021231
6140141121433105
712323565415451
oct1721543655641
9415636087845
10131224001441
1150719589575
122152279b795
13c4b3650840
1464cbc85d61
15363054092b
hex1e8d8f5ba1

131224001441 has 16 divisors (see below), whose sum is σ = 151059081600. Its totient is φ = 113037386880.

The previous prime is 131224001431. The next prime is 131224001477. The reversal of 131224001441 is 144100422131.

It is a cyclic number.

It is not a de Polignac number, because 131224001441 - 210 = 131224000417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131224001431) 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, 5339891 + ... + 5364408.

It is an arithmetic number, because the mean of its divisors is an integer number (9441192600).

Almost surely, 2131224001441 is an apocalyptic number.

It is an amenable number.

131224001441 is a deficient number, since it is larger than the sum of its proper divisors (19835080159).

131224001441 is a wasteful number, since it uses less digits than its factorization.

131224001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704376.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 131224001441 its reverse (144100422131), we get a palindrome (275324423572).

The spelling of 131224001441 in words is "one hundred thirty-one billion, two hundred twenty-four million, one thousand, four hundred forty-one".

Divisors: 1 13 23 41 299 533 943 12259 10704299 139155887 246198877 438876259 3200585401 5705391367 10094153957 131224001441