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231030300011121 = 3213172938933102877
BaseRepresentation
bin110100100001111011101110…
…111101101110101001110001
31010022000021120211120021210200
4310201323232331232221301
5220240200023300323441
62135205504333345413
766443250130425642
oct6441735675565161
91108007524507720
10231030300011121
11676824444550a6
1221ab3278038269
139bbb0aa261910
144109cd76396c9
151ba996571a7b6
hexd21eeef6ea71

231030300011121 has 96 divisors (see below), whose sum is σ = 393655827670560. Its totient is φ = 129190712942592.

The previous prime is 231030300011089. The next prime is 231030300011153. The reversal of 231030300011121 is 121110003030132.

231030300011121 is a `hidden beast` number, since 2 + 310 + 30 + 300 + 0 + 1 + 1 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (231030300011089) and next prime (231030300011153).

It can be written as a sum of positive squares in 16 ways, for example, as 91710520586721 + 139319779424400 = 9576561^2 + 11803380^2 .

It is not a de Polignac number, because 231030300011121 - 25 = 231030300011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231030300011094 and 231030300011103.

It is not an unprimeable number, because it can be changed into a prime (231030301011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2245642935 + ... + 2245745811.

It is an arithmetic number, because the mean of its divisors is an integer number (4100581538235).

Almost surely, 2231030300011121 is an apocalyptic number.

It is an amenable number.

231030300011121 is a deficient number, since it is larger than the sum of its proper divisors (162625527659439).

231030300011121 is a wasteful number, since it uses less digits than its factorization.

231030300011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141875 (or 141872 counting only the distinct ones).

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

Adding to 231030300011121 its reverse (121110003030132), we get a palindrome (352140303041253).

The spelling of 231030300011121 in words is "two hundred thirty-one trillion, thirty billion, three hundred million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 261 377 493 663 1131 1479 1989 3393 4437 6409 19227 38933 57681 102877 116799 308631 350397 506129 661861 925893 1129057 1337401 1518387 1748909 1985583 2983433 3387171 4012203 4555161 5246727 5956749 8604193 8950299 10161513 12036609 14677741 15740181 19193969 22735817 25812579 26850897 38784629 44033223 50718361 57581907 68207451 77437737 116353887 132099669 152155083 172745721 204622353 249521597 349061661 456465249 659338693 748564791 1978016079 2245694373 4005310241 5934048237 12015930723 36047792169 52069033133 68090274097 116153996989 156207099399 204270822291 348461990967 468621298197 612812466873 885173563261 1045385972901 1510001960857 1974617948813 2655520689783 4530005882571 5923853846439 7966562069349 13590017647713 17771561539317 25670033334569 77010100003707 231030300011121