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121012310331 = 32112353145503
BaseRepresentation
bin111000010110011100…
…1010101000100111011
3102120100120000022012200
41300230321111010323
53440313122412311
6131331533441243
711512540444323
oct1605471250473
9376316008180
10121012310331
1147359326930
121b552940223
13b546b44873
145bdd97a283
153233cb9556
hex1c2ce5513b

121012310331 has 24 divisors (see below), whose sum is σ = 198976766976. Its totient is φ = 70152062640.

The previous prime is 121012310311. The next prime is 121012310357. The reversal of 121012310331 is 133013210121.

121012310331 is a `hidden beast` number, since 1 + 2 + 10 + 12 + 310 + 331 = 666.

It is not a de Polignac number, because 121012310331 - 26 = 121012310267 is a prime.

It is a super-2 number, since 2×1210123103312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121012310311) 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 23 ways as a sum of consecutive naturals, for example, 26570475 + ... + 26575028.

It is an arithmetic number, because the mean of its divisors is an integer number (8290698624).

Almost surely, 2121012310331 is an apocalyptic number.

121012310331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121012310331 is a deficient number, since it is larger than the sum of its proper divisors (77964456645).

121012310331 is a wasteful number, since it uses less digits than its factorization.

121012310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53145543 (or 53145540 counting only the distinct ones).

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

Adding to 121012310331 its reverse (133013210121), we get a palindrome (254025520452).

The spelling of 121012310331 in words is "one hundred twenty-one billion, twelve million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 53145503 159436509 478309527 584600533 1222346569 1753801599 3667039707 5261404797 11001119121 13445812259 40337436777 121012310331