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12303320011101 = 3271953199974539
BaseRepresentation
bin1011001100001001011100…
…0001001101000101011101
31121120012000112012011120200
42303002113001031011131
53103034144410323401
642100022302334113
72406612511403460
oct263022701150535
947505015164520
1012303320011101
113a13899443629
121468570b8a339
136b32762b8cb2
143076aba292d7
15165086cd6686
hexb309704d15d

12303320011101 has 96 divisors (see below), whose sum is σ = 21892066560000. Its totient is φ = 6501930424704.

The previous prime is 12303320011093. The next prime is 12303320011123. The reversal of 12303320011101 is 10111002330321.

12303320011101 is a `hidden beast` number, since 1 + 230 + 3 + 320 + 0 + 1 + 110 + 1 = 666.

It is not a de Polignac number, because 12303320011101 - 23 = 12303320011093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303320012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12137490 + ... + 13112028.

It is an arithmetic number, because the mean of its divisors is an integer number (228042360000).

Almost surely, 212303320011101 is an apocalyptic number.

It is an amenable number.

12303320011101 is a deficient number, since it is larger than the sum of its proper divisors (9588746548899).

12303320011101 is a wasteful number, since it uses less digits than its factorization.

12303320011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974823 (or 974820 counting only the distinct ones).

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

Adding to 12303320011101 its reverse (10111002330321), we get a palindrome (22414322341422).

The spelling of 12303320011101 in words is "twelve trillion, three hundred three billion, three hundred twenty million, eleven thousand, one hundred one".

Divisors: 1 3 7 9 19 21 53 57 63 133 159 171 199 371 399 477 597 1007 1113 1197 1393 1791 3021 3339 3781 4179 7049 9063 10547 11343 12537 21147 26467 31641 34029 63441 73829 79401 94923 200393 221487 238203 601179 664461 974539 1402751 1803537 2923617 4208253 6821773 8770851 12624759 18516241 20465319 51650567 55548723 61395957 129613687 154951701 166646169 193933261 361553969 388841061 464855103 581799783 981360773 1084661907 1166523183 1357532827 1745399349 2944082319 3253985721 3684731959 4072598481 6869525411 8832246957 10278462833 11054195877 12217795443 20608576233 25793123713 30835388499 33162587631 61825728699 71949239831 77379371139 92506165497 195290793827 215847719493 232138113417 585872381481 647543158479 1367035556789 1757617144443 4101106670367 12303320011101