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131022221211 = 32717373932719
BaseRepresentation
bin111101000000110001…
…0000110111110011011
3110112012011102110111200
41322001202012332123
54121313142034321
6140105112525243
712315565335060
oct1720142067633
9415164373450
10131022221211
11506256a0052
12214870b0823
13c4808c215b
1464ad15cc67
15361c983d26
hex1e81886f9b

131022221211 has 48 divisors (see below), whose sum is σ = 229081881600. Its totient is φ = 70444733184.

The previous prime is 131022221207. The next prime is 131022221219. The reversal of 131022221211 is 112122220131.

It is not a de Polignac number, because 131022221211 - 22 = 131022221207 is a prime.

It is a super-4 number, since 4×1310222212114 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (131022221219) 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 47 ways as a sum of consecutive naturals, for example, 3988110 + ... + 4020828.

It is an arithmetic number, because the mean of its divisors is an integer number (4772539200).

Almost surely, 2131022221211 is an apocalyptic number.

131022221211 is a deficient number, since it is larger than the sum of its proper divisors (98059660389).

131022221211 is a wasteful number, since it uses less digits than its factorization.

131022221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36488 (or 36485 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131022221211 its reverse (112122220131), we get a palindrome (243144441342).

The spelling of 131022221211 in words is "one hundred thirty-one billion, twenty-two million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 3739 11217 26173 32719 33651 63563 78519 98157 190689 229033 235557 294471 444941 556223 572067 687099 1334823 1668669 2061297 3893561 4004469 5006007 11680683 35042049 122336341 367009023 856354387 1101027069 2079717797 2569063161 6239153391 7707189483 14558024579 18717460173 43674073737 131022221211