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121303101141 = 3237734990049
BaseRepresentation
bin111000011111000111…
…0100110111011010101
3102121002211012000012200
41300332032212323111
53441412043214031
6131420442235113
711523001230045
oct1607616467325
9377084160180
10121303101141
1147498490312
121b6141b5a99
13b592169a31
145c2a433725
15324e5a98e6
hex1c3e3a6ed5

121303101141 has 24 divisors (see below), whose sum is σ = 182416267800. Its totient is φ = 77605226496.

The previous prime is 121303101137. The next prime is 121303101173. The reversal of 121303101141 is 141101303121.

It is a happy number.

121303101141 is a `hidden beast` number, since 1 + 213 + 0 + 310 + 1 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24532956900 + 96770144241 = 156630^2 + 311079^2 .

It is not a de Polignac number, because 121303101141 - 22 = 121303101137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121303101181) 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, 2470716 + ... + 2519333.

It is an arithmetic number, because the mean of its divisors is an integer number (7600677825).

Almost surely, 2121303101141 is an apocalyptic number.

It is an amenable number.

121303101141 is a deficient number, since it is larger than the sum of its proper divisors (61113166659).

121303101141 is a wasteful number, since it uses less digits than its factorization.

121303101141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990165 (or 4990162 counting only the distinct ones).

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

Adding to 121303101141 its reverse (141101303121), we get a palindrome (262404404262).

The spelling of 121303101141 in words is "one hundred twenty-one billion, three hundred three million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 37 73 111 219 333 657 2701 8103 24309 4990049 14970147 44910441 184631813 364273577 553895439 1092820731 1661686317 3278462193 13478122349 40434367047 121303101141