Search a number
-
+
121082318331 = 31397178717911
BaseRepresentation
bin111000011000100010…
…0011000110111111011
3102120112102202002010120
41300301010120313323
53440434033141311
6131342514144323
711514350503302
oct1606104306773
9376472662116
10121082318331
11473948a2987
121b5722820a3
13b5584b6c10
145c08da1439
153239ee7706
hex1c31118dfb

121082318331 has 32 divisors (see below), whose sum is σ = 175762288128. Its totient is φ = 73698647040.

The previous prime is 121082318303. The next prime is 121082318351. The reversal of 121082318331 is 133813280121.

It is a happy number.

It is not a de Polignac number, because 121082318331 - 29 = 121082317819 is a prime.

It is a super-2 number, since 2×1210823183312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121082318292 and 121082318301.

It is not an unprimeable number, because it can be changed into a prime (121082318351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6751266 + ... + 6769176.

It is an arithmetic number, because the mean of its divisors is an integer number (5492571504).

Almost surely, 2121082318331 is an apocalyptic number.

121082318331 is a deficient number, since it is larger than the sum of its proper divisors (54679969797).

121082318331 is a wasteful number, since it uses less digits than its factorization.

121082318331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811.

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 121082318331 its reverse (133813280121), we get a palindrome (254895598452).

The spelling of 121082318331 in words is "one hundred twenty-one billion, eighty-two million, three hundred eighteen thousand, three hundred thirty-one".

Divisors: 1 3 13 39 97 291 1261 1787 3783 5361 17911 23231 53733 69693 173339 232843 520017 698529 1737367 2253407 5212101 6760221 22585771 32006957 67757313 96020871 416090441 1248271323 3104674829 9314024487 40360772777 121082318331