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131121312201 = 32111324457699
BaseRepresentation
bin111101000011101110…
…0000111000111001001
3110112110001212210210100
41322013130013013021
54122014023442301
6140123012440013
712321210523065
oct1720734070711
9415401783710
10131121312201
1150676620630
12214b4319009
13c4982a7c89
1464bc394aa5
153626509286
hex1e877071c9

131121312201 has 12 divisors (see below), whose sum is σ = 206615401200. Its totient is φ = 79467461880.

The previous prime is 131121312199. The next prime is 131121312209. The reversal of 131121312201 is 102213121131.

131121312201 is a `hidden beast` number, since 1 + 31 + 121 + 312 + 201 = 666.

It is not a de Polignac number, because 131121312201 - 21 = 131121312199 is a prime.

It is a super-2 number, since 2×1311213122012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131121312209) 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 11 ways as a sum of consecutive naturals, for example, 662228751 + ... + 662228948.

It is an arithmetic number, because the mean of its divisors is an integer number (17217950100).

Almost surely, 2131121312201 is an apocalyptic number.

131121312201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131121312201 is a deficient number, since it is larger than the sum of its proper divisors (75494088999).

131121312201 is a wasteful number, since it uses less digits than its factorization.

131121312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324457716 (or 1324457713 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131121312201 its reverse (102213121131), we get a palindrome (233334433332).

The spelling of 131121312201 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 33 99 1324457699 3973373097 11920119291 14569034689 43707104067 131121312201