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103233030333232 = 24237925511391981
BaseRepresentation
bin10111011110001111010000…
…000110100010001100110000
3111112111222111101021021022111
4113132033100012202030300
5102012332221231130412
61003320333251015104
730513224504432062
oct2736172006421460
9445458441237274
10103233030333232
112a990978386308
12b6b3304b9a494
13457aaaa102197
141b6c710895732
15be04dc1482a7
hex5de3d01a2330

103233030333232 has 80 divisors (see below), whose sum is σ = 211435161569280. Its totient is φ = 48728208672000.

The previous prime is 103233030333179. The next prime is 103233030333287. The reversal of 103233030333232 is 232333030332301.

It is a junction number, because it is equal to n+sod(n) for n = 103233030333194 and 103233030333203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73466682 + ... + 74858662.

It is an arithmetic number, because the mean of its divisors is an integer number (2642939519616).

Almost surely, 2103233030333232 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 103233030333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105717580784640).

103233030333232 is an abundant number, since it is smaller than the sum of its proper divisors (108202131236048).

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

103233030333232 is a wasteful number, since it uses less digits than its factorization.

103233030333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394642 (or 1394636 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 31.

Adding to 103233030333232 its reverse (232333030332301), we get a palindrome (335566060665533).

The spelling of 103233030333232 in words is "one hundred three trillion, two hundred thirty-three billion, thirty million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 79 92 158 184 316 368 632 1264 1817 2551 3634 5102 7268 10204 14536 20408 29072 40816 58673 117346 201529 234692 403058 469384 806116 938768 1391981 1612232 2783962 3224464 4635167 5567924 9270334 11135848 18540668 22271696 32015563 37081336 64031126 74162672 109966499 128062252 219932998 256124504 439865996 512249008 879731992 1759463984 2529229477 3550943531 5058458954 7101887062 10116917908 14203774124 20233835816 28407548248 40467671632 56815096496 81671701213 163343402426 280524538949 326686804852 561049077898 653373609704 1122098155796 1306747219408 2244196311592 4488392623184 6452064395827 12904128791654 25808257583308 51616515166616 103233030333232