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131220222133 = 721113140913291
BaseRepresentation
bin111101000110101010…
…1011011000010110101
3110112200221222221201011
41322031111123002311
54122214334102013
6140140504432221
712323521325200
oct1721525330265
9415627887634
10131220222133
1150717438080
1221521478671
13c4b2929570
1464cb580937
153630045c3d
hex1e8d55b0b5

131220222133 has 48 divisors (see below), whose sum is σ = 179470710720. Its totient is φ = 94310092800.

The previous prime is 131220222083. The next prime is 131220222169. The reversal of 131220222133 is 331222022131.

It is not a de Polignac number, because 131220222133 - 213 = 131220213941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220225133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9866218 + ... + 9879508.

It is an arithmetic number, because the mean of its divisors is an integer number (3738973140).

Almost surely, 2131220222133 is an apocalyptic number.

131220222133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131220222133 is a deficient number, since it is larger than the sum of its proper divisors (48250488587).

131220222133 is a wasteful number, since it uses less digits than its factorization.

131220222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131220222133 its reverse (331222022131), we get a palindrome (462442244264).

It can be divided in two parts, 131220 and 222133, that added together give a palindrome (353353).

The spelling of 131220222133 in words is "one hundred thirty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1409 7007 9863 13291 15499 18317 69041 93037 108493 128219 146201 172783 201487 651259 759451 897533 1023407 1209481 1410409 1900613 7163849 8466367 9872863 13304291 18727019 93130037 131089133 205997209 243451247 917623931 1441980463 1704158729 2677963717 10093863241 11929111103 18745746019 131220222133