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131122340331 = 317107229317331
BaseRepresentation
bin111101000011110000…
…0000010000111101011
3110112110010211001010020
41322013200002013223
54122014304342311
6140123050451523
712321222334413
oct1720740020753
9415403731106
10131122340331
1150677163024
12214b4733ba3
13c498577c38
1464bc581643
15362665dc06
hex1e878021eb

131122340331 has 64 divisors (see below), whose sum is σ = 188820564480. Its totient is φ = 80647649280.

The previous prime is 131122340311. The next prime is 131122340353. The reversal of 131122340331 is 133043221131.

It is not a de Polignac number, because 131122340331 - 29 = 131122339819 is a prime.

It is a super-2 number, since 2×1311223403312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131122340311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396139836 + ... + 396140166.

It is an arithmetic number, because the mean of its divisors is an integer number (2950321320).

Almost surely, 2131122340331 is an apocalyptic number.

131122340331 is a deficient number, since it is larger than the sum of its proper divisors (57698224149).

131122340331 is a wasteful number, since it uses less digits than its factorization.

131122340331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131122340331 its reverse (133043221131), we get a palindrome (264165561462).

The spelling of 131122340331 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 17 51 107 229 317 321 331 687 951 993 1819 3893 5389 5457 5627 11679 16167 16881 24503 33919 35417 72593 73509 75799 101757 104927 106251 217779 227397 314781 416551 576623 602089 1234081 1249653 1288583 1729869 1783759 1806267 3702243 3865749 5351277 7767451 8110493 11227189 23302353 24028283 24331479 33681567 72084849 132046667 137878381 190862213 396140001 408480811 413635143 572586639 1225442433 2571026281 7713078843 43707446777 131122340331