Search a number
-
+
132111012112121 = 7216718199887113
BaseRepresentation
bin11110000010011101111101…
…111100101010011011111001
3122022202200121120201201221002
4132002131331330222123321
5114304001323100041441
61144550543333454345
736553464015455300
oct3602357574523371
9568680546651832
10132111012112121
1139104a69234a19
1212997bba7a13b5
135894026c04663
14248a2c8413437
15104179d443b9b
hex78277df2a6f9

132111012112121 has 24 divisors (see below), whose sum is σ = 154609066684800. Its totient is φ = 112553626635072.

The previous prime is 132111012112099. The next prime is 132111012112153. The reversal of 132111012112121 is 121211210111231.

It is not a de Polignac number, because 132111012112121 - 242 = 127712965601017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132111012112093 and 132111012112102.

It is not an unprimeable number, because it can be changed into a prime (132111012112621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148478861 + ... + 149365973.

It is an arithmetic number, because the mean of its divisors is an integer number (6442044445200).

Almost surely, 2132111012112121 is an apocalyptic number.

It is an amenable number.

132111012112121 is a deficient number, since it is larger than the sum of its proper divisors (22498054572679).

132111012112121 is a wasteful number, since it uses less digits than its factorization.

132111012112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905493 (or 905486 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 132111012112121 its reverse (121211210111231), we get a palindrome (253322222223352).

The spelling of 132111012112121 in words is "one hundred thirty-two trillion, one hundred eleven billion, twelve million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 49 167 1169 8183 18199 127393 887113 891751 3039233 6209791 21274631 43468537 148147871 148922417 1037035097 7259245679 16144569487 113011986409 791083904863 2696143104329 18873001730303 132111012112121