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12013020232101 = 337297591288731
BaseRepresentation
bin1010111011001111111111…
…0011011011100110100101
31120112102201000221102111000
42232303333303123212211
53033310131134411401
641314412202503513
72346624561113610
oct256637763334645
946472630842430
1012013020232101
1139117698189a9
121420254204b99
13691a91026535
142d760ccd3177
1515c74601c186
hexaecffcdb9a5

12013020232101 has 64 divisors (see below), whose sum is σ = 21043712102400. Its totient is φ = 6626977156800.

The previous prime is 12013020232069. The next prime is 12013020232123. The reversal of 12013020232101 is 10123202031021.

12013020232101 is a `hidden beast` number, since 12 + 0 + 130 + 202 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 12013020232101 - 25 = 12013020232069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013020232151) 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 63 ways as a sum of consecutive naturals, for example, 41461906 + ... + 41750636.

It is an arithmetic number, because the mean of its divisors is an integer number (328808001600).

Almost surely, 212013020232101 is an apocalyptic number.

It is an amenable number.

12013020232101 is a deficient number, since it is larger than the sum of its proper divisors (9030691870299).

12013020232101 is a wasteful number, since it uses less digits than its factorization.

12013020232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296367 (or 296361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013020232101 its reverse (10123202031021), we get a palindrome (22136222263122).

The spelling of 12013020232101 in words is "twelve trillion, thirteen billion, twenty million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 7591 22773 53137 68319 159411 204957 220139 288731 478233 660417 866193 1434699 1540973 1981251 2021117 2598579 4622919 5943753 6063351 7795737 8373199 13868757 18190053 25119597 41606271 54570159 58612393 75358791 175837179 226076373 527511537 1582534611 2191757021 6575271063 15342299147 19725813189 46026897441 59177439567 63560953609 138080692323 190682860827 414242076969 444926675263 572048582481 1334780025789 1716145747443 4004340077367 12013020232101