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121130301321 = 3297626922133
BaseRepresentation
bin111000011001111101…
…1011011011110001001
3102120122210000212102100
41300303323123132021
53441033324120241
6131351350424013
711515502400351
oct1606373333611
9376583025370
10121130301321
1147409996247
121b586362009
13b565417213
145c114d1b61
15323e3249b6
hex1c33edb789

121130301321 has 24 divisors (see below), whose sum is σ = 176805949320. Its totient is φ = 79904664576.

The previous prime is 121130301319. The next prime is 121130301371. The reversal of 121130301321 is 123103031121.

121130301321 is a `hidden beast` number, since 1 + 2 + 11 + 30 + 301 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8361273600 + 112769027721 = 91440^2 + 335811^2 .

It is not a de Polignac number, because 121130301321 - 21 = 121130301319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121130301294 and 121130301303.

It is not an unprimeable number, because it can be changed into a prime (121130301371) 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, 5461771 + ... + 5483903.

It is an arithmetic number, because the mean of its divisors is an integer number (7366914555).

Almost surely, 2121130301321 is an apocalyptic number.

It is an amenable number.

121130301321 is a deficient number, since it is larger than the sum of its proper divisors (55675647999).

121130301321 is a wasteful number, since it uses less digits than its factorization.

121130301321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28505 (or 28502 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121130301321 its reverse (123103031121), we get a palindrome (244233332442).

The spelling of 121130301321 in words is "one hundred twenty-one billion, one hundred thirty million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 97 291 873 6269 18807 22133 56421 66399 199197 608093 1824279 2146901 5472837 6440703 19322109 138751777 416255331 1248765993 13458922369 40376767107 121130301321