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103332233120112 = 24327191811110083
BaseRepresentation
bin10111011111101011101001…
…000011001000100101110000
3111112212110112222210222202100
4113133223221003020211300
5102020443403134320422
61003434101135020400
730523336031262063
oct2737535103104560
9445773488728670
10103332233120112
112aa19a54804397
12b70a58b96a700
1345872596c6389
141b73441ab48da
15be2d963ab7ac
hex5dfae90c8970

103332233120112 has 120 divisors (see below), whose sum is σ = 293265646547328. Its totient is φ = 33958271491200.

The previous prime is 103332233120089. The next prime is 103332233120117. The reversal of 103332233120112 is 211021332233301.

103332233120112 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 322 + 331 + 2 + 0 + 1 + 1 + 2 = 666.

103332233120112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332233120117) 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, 938620623 + ... + 938730705.

Almost surely, 2103332233120112 is an apocalyptic number.

103332233120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103332233120112 is an abundant number, since it is smaller than the sum of its proper divisors (189933413427216).

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

103332233120112 is a wasteful number, since it uses less digits than its factorization.

103332233120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201979 (or 201970 counting only the distinct ones).

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

Adding to 103332233120112 its reverse (211021332233301), we get a palindrome (314353565353413).

The spelling of 103332233120112 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred thirty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 91811 110083 183622 220166 275433 330249 367244 440332 550866 660498 734488 826299 880664 990747 1101732 1320996 1468976 1652598 1761328 1981494 2203464 2641992 3305196 3962988 4406928 5283984 6518581 6610392 7815893 7925976 13037162 13220784 15631786 15851952 19555743 23447679 26074324 31263572 39111486 46895358 52148648 58667229 62527144 70343037 78222972 93790716 104297296 117334458 125054288 140686074 156445944 187581432 234668916 281372148 312891888 375162864 469337832 562744296 938675664 1125488592 10106830313 20213660626 30320490939 40427321252 60640981878 80854642504 90961472817 121281963756 161709285008 181922945634 242563927512 363845891268 485127855024 717584952223 727691782536 1435169904446 1455383565072 2152754856669 2870339808892 4305509713338 5740679617784 6458264570007 8611019426676 11481359235568 12916529140014 17222038853352 25833058280028 34444077706704 51666116560056 103332233120112