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230142001212123 = 371113104637324607
BaseRepresentation
bin110100010101000000011100…
…001110101110101011011011
31010011212100201202122210202020
4310111000130032232223123
5220131121304302241443
62133245435323305523
766322132222264020
oct6425003416565333
91104770652583666
10230142001212123
116736a746992860
122198b08a67b2a3
139b553b3a700b0
1440b8d0a2d1547
151b917c55db583
hexd1501c3aeadb

230142001212123 has 64 divisors (see below), whose sum is σ = 412041897050112. Its totient is φ = 110347240279680.

The previous prime is 230142001211999. The next prime is 230142001212173. The reversal of 230142001212123 is 321212100241032.

230142001212123 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230142001212123 - 221 = 230141999114971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230142001212093 and 230142001212102.

It is not an unprimeable number, because it can be changed into a prime (230142001212173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27758086 + ... + 35082692.

It is an arithmetic number, because the mean of its divisors is an integer number (6438154641408).

Almost surely, 2230142001212123 is an apocalyptic number.

230142001212123 is a deficient number, since it is larger than the sum of its proper divisors (181899895837989).

230142001212123 is a wasteful number, since it uses less digits than its factorization.

230142001212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335104.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 230142001212123 its reverse (321212100241032), we get a palindrome (551354101453155).

The spelling of 230142001212123 in words is "two hundred thirty trillion, one hundred forty-two billion, one million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 10463 31389 73241 115093 136019 219723 345279 408057 805651 952133 1496209 2416953 2856399 4488627 7324607 10473463 21973821 31420389 51272249 80570677 95219891 153816747 241712031 285659673 563994739 666539237 1047418801 1691984217 1999617711 3142256403 7331931607 21995794821 76637363041 229912089123 536461541287 843010993451 996285719533 1609384623861 2529032980353 2988857158599 5901076954157 6974000036731 10959142914863 17703230862471 20922000110193 32877428744589 76714000404041 230142001212123