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121141110331 = 2337532685877
BaseRepresentation
bin111000011010010010…
…0101010011000111011
3102120200112101000121001
41300310210222120323
53441044111012311
6131352414225431
711515663306453
oct1606444523073
9376615330531
10121141110331
1147414aa920a
121b589ab5277
13b567730097
145c12b06d63
15324025c4c1
hex1c3492a63b

121141110331 has 16 divisors (see below), whose sum is σ = 132274119744. Its totient is φ = 110615117184.

The previous prime is 121141110329. The next prime is 121141110367. The reversal of 121141110331 is 133011141121.

It is a cyclic number.

It is not a de Polignac number, because 121141110331 - 21 = 121141110329 is a prime.

It is a super-3 number, since 3×1211411103313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121141110299 and 121141110308.

It is not an unprimeable number, because it can be changed into a prime (121141119331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297836 + ... + 1388041.

It is an arithmetic number, because the mean of its divisors is an integer number (8267132484).

Almost surely, 2121141110331 is an apocalyptic number.

121141110331 is a deficient number, since it is larger than the sum of its proper divisors (11133009413).

121141110331 is a wasteful number, since it uses less digits than its factorization.

121141110331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685990.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 121141110331 its reverse (133011141121), we get a palindrome (254152251452).

The spelling of 121141110331 in words is "one hundred twenty-one billion, one hundred forty-one million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 23 37 53 851 1219 1961 45103 2685877 61775171 99377449 142351481 2285681327 3274084063 5267004797 121141110331