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103232310303232 = 2911269103365963
BaseRepresentation
bin10111011110001110100101…
…001011110101101000000000
3111112111220122012101221211201
4113132032211023311220000
5102012324232414200412
61003320134010150544
730513200612325205
oct2736164513655000
9445456565357751
10103232310303232
112a9906389a60a0
12b6b3143a22454
13457a9c3b9bb26
141b6c682dc5cac
15be0498d1ae57
hex5de3a52f5a00

103232310303232 has 160 divisors (see below), whose sum is σ = 226072723187520. Its totient is φ = 46703375646720.

The previous prime is 103232310303223. The next prime is 103232310303233. The reversal of 103232310303232 is 232303013232301.

It is a self number, because there is not a number n which added to its sum of digits gives 103232310303232.

It is not an unprimeable number, because it can be changed into a prime (103232310303233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564970283 + ... + 1565036245.

It is an arithmetic number, because the mean of its divisors is an integer number (1412954519922).

Almost surely, 2103232310303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232310303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113036361593760).

103232310303232 is an abundant number, since it is smaller than the sum of its proper divisors (122840412884288).

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

103232310303232 is a wasteful number, since it uses less digits than its factorization.

103232310303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67294 (or 67278 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 103232310303232 its reverse (232303013232301), we get a palindrome (335535323535533).

The spelling of 103232310303232 in words is "one hundred three trillion, two hundred thirty-two billion, three hundred ten million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 269 352 512 538 704 1033 1076 1408 2066 2152 2816 2959 4132 4304 5632 5918 8264 8608 11363 11836 16528 17216 22726 23672 33056 34432 45452 47344 65963 66112 68864 90904 94688 131926 132224 137728 181808 189376 263852 264448 277877 363616 378752 527704 528896 555754 725593 727232 757504 1055408 1111508 1451186 1454464 1515008 2110816 2223016 2902372 2908928 3056647 4221632 4446032 5804744 5817856 6113294 8443264 8892064 11609488 12226588 16886528 17744047 17784128 23218976 24453176 33773056 35488094 35568256 46437952 48906352 68139779 70976188 71136512 92875904 97812704 136279558 141952376 142273024 185751808 195184517 195625408 272559116 283904752 371503616 390369034 391250816 545118232 567809504 749537569 780738068 782501632 1090236464 1135619008 1499075138 1561476136 1565003264 2180472928 2271238016 2998150276 3122952272 4360945856 4542476032 5996300552 6245904544 8721891712 9084952064 11992601104 12491809088 17443783424 18329600551 23985202208 24983618176 34887566848 36659201102 47970404416 49967236352 73318402204 95940808832 99934472704 146636804408 191881617664 201625606061 293273608816 383763235328 403251212122 586547217632 806502424244 1173094435264 1613004848488 2346188870528 3226009696976 4692377741056 6452019393952 9384755482112 12904038787904 25808077575808 51616155151616 103232310303232