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131121122121 = 32114813275183
BaseRepresentation
bin111101000011101101…
…1011000101101001001
3110112110001112011001100
41322013123120231021
54122014001401441
6140123004412013
712321206101653
oct1720733305511
9415401464040
10131121122121
1150676500840
12214b4247009
13c49823c5c2
1464bc3456d3
1536264bccb6
hex1e876d8b49

131121122121 has 24 divisors (see below), whose sum is σ = 206658781056. Its totient is φ = 79450547040.

The previous prime is 131121122113. The next prime is 131121122137. The reversal of 131121122121 is 121221121131.

It is a happy number.

131121122121 is a `hidden beast` number, since 1 + 311 + 211 + 22 + 121 = 666.

It is not a de Polignac number, because 131121122121 - 23 = 131121122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131121122094 and 131121122103.

It is not an unprimeable number, because it can be changed into a prime (131121123121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338896 + ... + 614078.

It is an arithmetic number, because the mean of its divisors is an integer number (8610782544).

Almost surely, 2131121122121 is an apocalyptic number.

131121122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131121122121 is a deficient number, since it is larger than the sum of its proper divisors (75537658935).

131121122121 is a wasteful number, since it uses less digits than its factorization.

131121122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280013 (or 280010 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 131121122121 its reverse (121221121131), we get a palindrome (252342243252).

The spelling of 131121122121 in words is "one hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 4813 14439 43317 52943 158829 275183 476487 825549 2476647 3027013 9081039 27243117 1324455779 3973367337 11920102011 14569013569 43707040707 131121122121