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230331121321131 = 3319835471988759
BaseRepresentation
bin110100010111110000100100…
…101010101100010010101011
31010012112102212212111202121000
4310113300210222230102223
5220142221114024234011
62133512353435450043
766341605622552145
oct6427604452542253
91105472785452530
10230331121321131
11674329752a1906
12219bb86a5b6923
139b6a192cc933c
1440c412b449c95
151b966937e9356
hexd17c24aac4ab

230331121321131 has 64 divisors (see below), whose sum is σ = 363585245184000. Its totient is φ = 143693194315680.

The previous prime is 230331121321127. The next prime is 230331121321151. The reversal of 230331121321131 is 131123121133032.

230331121321131 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 311 + 21 + 321 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 230331121321131 - 22 = 230331121321127 is a prime.

It is a super-2 number, since 2×2303311213211312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230331121321095 and 230331121321104.

It is not an unprimeable number, because it can be changed into a prime (230331121321151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232455330 + ... + 233444088.

It is an arithmetic number, because the mean of its divisors is an integer number (5681019456000).

Almost surely, 2230331121321131 is an apocalyptic number.

230331121321131 is a deficient number, since it is larger than the sum of its proper divisors (133254123862869).

230331121321131 is a wasteful number, since it uses less digits than its factorization.

230331121321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994341 (or 994335 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 230331121321131 its reverse (131123121133032), we get a palindrome (361454242454163).

The spelling of 230331121321131 in words is "two hundred thirty trillion, three hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 83 171 249 513 747 1577 2241 4731 5471 14193 16413 42579 49239 103949 147717 311847 454093 935541 988759 1362279 2806623 2966277 4086837 8627767 8898831 12260511 18786421 25883301 26696493 56359263 77649903 82066997 169077789 232949709 246200991 507233367 738602973 1559272943 2215808919 4677818829 5409500489 14033456487 16228501467 42100369461 48685504401 102780509291 146056513203 308341527873 448988540587 925024583619 1346965621761 2775073750857 4040896865283 8530782271153 12122690595849 25592346813459 76777040440377 230331121321131