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230123114331 = 31123261216103
BaseRepresentation
bin1101011001010001101…
…0000000111101011011
3210222222200020102222120
43112110122000331123
512232243004124311
6253414520552323
722424444124525
oct3262432007533
9728880212876
10230123114331
118965a553910
12387239226a3
131891505b896
14b1d0a16a15
155ebccbb706
hex3594680f5b

230123114331 has 48 divisors (see below), whose sum is σ = 355648403712. Its totient is φ = 131217134400.

The previous prime is 230123114293. The next prime is 230123114363. The reversal of 230123114331 is 133411321032.

230123114331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230123114331 - 29 = 230123113819 is a prime.

It is a super-2 number, since 2×2301231143312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230123114381) 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 47 ways as a sum of consecutive naturals, for example, 956826 + ... + 1172928.

It is an arithmetic number, because the mean of its divisors is an integer number (7409341744).

Almost surely, 2230123114331 is an apocalyptic number.

230123114331 is a deficient number, since it is larger than the sum of its proper divisors (125525289381).

230123114331 is a wasteful number, since it uses less digits than its factorization.

230123114331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216224 (or 216201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 230123114331 its reverse (133411321032), we get a palindrome (363534435363).

The spelling of 230123114331 in words is "two hundred thirty billion, one hundred twenty-three million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 11 23 33 61 69 183 253 529 671 759 1403 1587 2013 4209 5819 15433 17457 32269 46299 96807 216103 354959 648309 1064877 2377133 4970369 7131399 13182283 14911107 39546849 54674059 114318487 145005113 164022177 303192509 342955461 435015339 909577527 1257503357 3335117599 3772510071 6973427707 10005352797 20920283121 76707704777 230123114331