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103232233131012 = 2232195314531959827
BaseRepresentation
bin10111011110001110100000…
…100101011100110000000100
3111112111220102211012012110100
4113132032200211130300010
5102012324103140143022
61003320122212124100
730513165654350256
oct2736164045346004
9445456384165410
10103232233131012
112a9905a93864a7
12b6b3122006630
13457a9b0bbb8ab
141b6c676a57cd6
15be04921751ac
hex5de3a095cc04

103232233131012 has 144 divisors (see below), whose sum is σ = 280057696551360. Its totient is φ = 31962535697664.

The previous prime is 103232233131011. The next prime is 103232233131061. The reversal of 103232233131012 is 210131332232301.

103232233131012 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 2 + 2 + 331 + 310 + 12 = 666.

It is a super-2 number, since 2×1032322331310122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103232233131011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51694243 + ... + 53654069.

It is an arithmetic number, because the mean of its divisors is an integer number (1944845114940).

Almost surely, 2103232233131012 is an apocalyptic number.

103232233131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232233131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140028848275680).

103232233131012 is an abundant number, since it is smaller than the sum of its proper divisors (176825463420348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103232233131012 is a wasteful number, since it uses less digits than its factorization.

103232233131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961362 (or 1961357 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103232233131012 its reverse (210131332232301), we get a palindrome (313363565363313).

The spelling of 103232233131012 in words is "one hundred three trillion, two hundred thirty-two billion, two hundred thirty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1453 1908 2014 2906 3021 4028 4359 5812 6042 8718 9063 12084 13077 17436 18126 26154 27607 36252 52308 55214 77009 82821 110428 154018 165642 231027 248463 308036 331284 462054 496926 693081 924108 993852 1386162 1463171 1959827 2772324 2926342 3919654 4389513 5852684 5879481 7839308 8779026 11758962 13168539 17558052 17638443 23517924 26337078 35276886 37236713 52674156 70553772 74473426 103870831 111710139 148946852 207741662 223420278 311612493 335130417 415483324 446840556 623224986 670260834 934837479 1246449972 1340521668 1869674958 1973545789 2847628631 3739349916 3947091578 5695257262 5920637367 7894183156 8542885893 11390514524 11841274734 17085771786 17761912101 23682549468 25628657679 34171543572 35523824202 51257315358 54104943989 71047648404 102514630716 108209887978 150924317443 162314831967 216419775956 301848634886 324629663934 452772952329 486944495901 603697269772 649259327868 905545904658 973888991802 1358318856987 1811091809316 1947777983604 2716637713974 2867562031417 5433275427948 5735124062834 8602686094251 11470248125668 17205372188502 25808058282753 34410744377004 51616116565506 103232233131012