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131322223131 = 3111011271991559
BaseRepresentation
bin111101001001101101…
…0100001101000011011
3110112222001221010202220
41322103122201220123
54122421442120011
6140154550555123
712326200323201
oct1722332415033
9415861833686
10131322223131
1150769a75a20
122154b668aa3
13c4caac0a98
1464dad33071
153638e93506
hex1e936a1a1b

131322223131 has 64 divisors (see below), whose sum is σ = 195526656000. Its totient is φ = 77737968000.

The previous prime is 131322223103. The next prime is 131322223243.

131322223131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131322223131 - 211 = 131322221083 is a prime.

It is a super-2 number, since 2×1313222231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131322223831) 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 63 ways as a sum of consecutive naturals, for example, 84234130 + ... + 84235688.

It is an arithmetic number, because the mean of its divisors is an integer number (3055104000).

Almost surely, 2131322223131 is an apocalyptic number.

131322223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131322223131 is a deficient number, since it is larger than the sum of its proper divisors (64204432869).

131322223131 is a wasteful number, since it uses less digits than its factorization.

131322223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

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

It can be divided in two parts, 131322 and 223131, that added together give a palindrome (354453).

The spelling of 131322223131 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 127 199 303 381 597 1111 1397 1559 2189 3333 4191 4677 6567 12827 17149 20099 25273 38481 51447 60297 75819 141097 157459 197993 221089 278003 310241 423291 472377 593979 663267 834009 930723 1732049 2177923 2552573 3412651 5196147 6533769 7657719 10237953 19997293 28078303 31334341 39400607 59991879 84234909 94003023 118201821 219970223 344677751 433406677 659910669 1034033253 1300220031 3979461307 11938383921 43774074377 131322223131