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131220022131 = 32116739749831
BaseRepresentation
bin111101000110101010…
…0101010001101110011
3110112200221121210100200
41322031110222031303
54122214311202011
6140140500250243
712323516533122
oct1721524521563
9415627553320
10131220022131
1150717310890
12215213a0983
13c4b2889513
1464cb52bab9
153630006856
hex1e8d52a373

131220022131 has 48 divisors (see below), whose sum is σ = 210389906688. Its totient is φ = 78141412800.

The previous prime is 131220022111. The next prime is 131220022133.

131220022131 is a `hidden beast` number, since 1 + 312 + 200 + 22 + 131 = 666.

131220022131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131220022131 - 25 = 131220022099 is a prime.

It is a super-2 number, since 2×1312200221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131220022133) 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, 2608386 + ... + 2658216.

It is an arithmetic number, because the mean of its divisors is an integer number (4383123056).

Almost surely, 2131220022131 is an apocalyptic number.

131220022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131220022131 is a deficient number, since it is larger than the sum of its proper divisors (79169884557).

131220022131 is a wasteful number, since it uses less digits than its factorization.

131220022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50312 (or 50309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1312200 and 22131, that added together give a palindrome (1334331).

The spelling of 131220022131 in words is "one hundred thirty-one billion, two hundred twenty million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 67 99 201 397 603 737 1191 2211 3573 4367 6633 13101 26599 39303 49831 79797 149493 239391 292589 448479 548141 877767 1644423 2633301 3338677 4933269 10016031 19782907 30048093 36725447 59348721 110176341 178046163 217611977 330529023 652835931 1325454769 1958507793 3976364307 11929092921 14580002459 43740007377 131220022131