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103232001201012 = 223292211099328289
BaseRepresentation
bin10111011110001110010010…
…110000101101001101110100
3111112111212211122202221022100
4113132032102300231031310
5102012323114301413022
61003320043205102100
730513160140105435
oct2736162260551564
9445455748687270
10103232001201012
112a99049a475012
12b6b30783b7930
13457a974b34cc8
141b6c653d2348c
15be047bb101ac
hex5de392c2d374

103232001201012 has 72 divisors (see below), whose sum is σ = 261008824232520. Its totient is φ = 34402589245440.

The previous prime is 103232001200959. The next prime is 103232001201013. The reversal of 103232001201012 is 210102100232301.

103232001201012 is a `hidden beast` number, since 1 + 0 + 323 + 200 + 120 + 10 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45961403306256 + 57270597894756 = 6779484^2 + 7567734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232001201013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3649178164 + ... + 3649206452.

It is an arithmetic number, because the mean of its divisors is an integer number (3625122558785).

Almost surely, 2103232001201012 is an apocalyptic number.

103232001201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103232001201012 is an abundant number, since it is smaller than the sum of its proper divisors (157776823031508).

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

103232001201012 is a wasteful number, since it uses less digits than its factorization.

103232001201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48513 (or 48508 counting only the distinct ones).

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

Adding to 103232001201012 its reverse (210102100232301), we get a palindrome (313334101433313).

The spelling of 103232001201012 in words is "one hundred three trillion, two hundred thirty-two billion, one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 9221 10993 18442 21986 27663 28289 32979 36884 43972 55326 56578 65958 82989 84867 98937 110652 113156 131916 165978 169734 197874 254601 331956 339468 395748 509202 1018404 101366453 202732906 260852869 304099359 310980977 405465812 521705738 608198718 621961954 782558607 912298077 932942931 1043411476 1216397436 1243923908 1565117214 1824596154 1865885862 2347675821 2798828793 3130234428 3649192308 3731771724 4695351642 5597657586 9390703284 11195315172 2867555588917 5735111177834 8602666766751 11470222355668 17205333533502 25808000300253 34410667067004 51616000600506 103232001201012