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131121220201 = 1734572231129
BaseRepresentation
bin111101000011101101…
…1110000101001101001
3110112110001201010120221
41322013123300221221
54122014013021301
6140123010450041
712321206660626
oct1720733605151
9415401633527
10131121220201
11506765684a4
12214b4293921
13c49827513a
1464bc36d34d
1536264dbda1
hex1e876f0a69

131121220201 has 8 divisors (see below), whose sum is σ = 138874455720. Its totient is φ = 123372453888.

The previous prime is 131121220183. The next prime is 131121220213. The reversal of 131121220201 is 102022121131.

It can be written as a sum of positive squares in 4 ways, for example, as 3390034176 + 127731186025 = 58224^2 + 357395^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131121220201 - 27 = 131121220073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131121220271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056796 + ... + 1174333.

It is an arithmetic number, because the mean of its divisors is an integer number (17359306965).

Almost surely, 2131121220201 is an apocalyptic number.

It is an amenable number.

131121220201 is a deficient number, since it is larger than the sum of its proper divisors (7753235519).

131121220201 is a wasteful number, since it uses less digits than its factorization.

131121220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234603.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131121220201 its reverse (102022121131), we get a palindrome (233143341332).

The spelling of 131121220201 in words is "one hundred thirty-one billion, one hundred twenty-one million, two hundred twenty thousand, two hundred one".

Divisors: 1 17 3457 58769 2231129 37929193 7713012953 131121220201