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131044224441 = 31318711795889
BaseRepresentation
bin111101000001011011…
…0000010110110111001
3110112020200211100021010
41322002312002312321
54121334310140231
6140111220304133
712316253346324
oct1720266026671
9415220740233
10131044224441
1150637059439
1221492542049
13c485327310
1464b20497bb
15361e87d546
hex1e82d82db9

131044224441 has 16 divisors (see below), whose sum is σ = 188266740480. Its totient is φ = 80599453440.

The previous prime is 131044224439. The next prime is 131044224491. The reversal of 131044224441 is 144422440131.

It is a happy number.

It is not a de Polignac number, because 131044224441 - 21 = 131044224439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131044224399 and 131044224408.

It is not an unprimeable number, because it can be changed into a prime (131044224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824976 + ... + 970913.

It is an arithmetic number, because the mean of its divisors is an integer number (11766671280).

Almost surely, 2131044224441 is an apocalyptic number.

It is an amenable number.

131044224441 is a deficient number, since it is larger than the sum of its proper divisors (57222516039).

131044224441 is a wasteful number, since it uses less digits than its factorization.

131044224441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797776.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131044224441 its reverse (144422440131), we get a palindrome (275466664572).

The spelling of 131044224441 in words is "one hundred thirty-one billion, forty-four million, two hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 13 39 1871 5613 24323 72969 1795889 5387667 23346557 70039671 3360108319 10080324957 43681408147 131044224441