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10003233030032 = 24111791221126003
BaseRepresentation
bin1001000110010000111100…
…1001101011111110010000
31022102022002111202012021102
42101210033021223332100
52302343110123430112
633135231040043532
72051465303552654
oct221441711537620
938368074665242
1010003233030032
113207390297370
12115683a6035a8
135773babc0248
14268232674a64
15125318bb7bc2
hex9190f26bf90

10003233030032 has 80 divisors (see below), whose sum is σ = 21263874382080. Its totient is φ = 4520978140800.

The previous prime is 10003233029953. The next prime is 10003233030061. The reversal of 10003233030032 is 23003033230001.

It is a junction number, because it is equal to n+sod(n) for n = 10003233029986 and 10003233030013.

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, 384682343 + ... + 384708345.

It is an arithmetic number, because the mean of its divisors is an integer number (265798429776).

Almost surely, 210003233030032 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 10003233030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631937191040).

10003233030032 is an abundant number, since it is smaller than the sum of its proper divisors (11260641352048).

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

10003233030032 is a wasteful number, since it uses less digits than its factorization.

10003233030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38412 (or 38406 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10003233030032 its reverse (23003033230001), we get a palindrome (33006266260033).

The spelling of 10003233030032 in words is "ten trillion, three billion, two hundred thirty-three million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 716 1432 1969 2864 3938 7876 12211 15752 24422 26003 31504 48844 52006 97688 104012 134321 195376 208024 268642 286033 416048 537284 572066 1074568 1144132 2149136 2185769 2288264 4371538 4576528 4654537 8743076 9309074 17486152 18618148 24043459 34972304 37236296 48086918 51199907 74472592 96173836 102399814 192347672 204799628 317522633 384695344 409599256 635045266 819198512 1270090532 2540181064 3492748963 5080362128 6985497926 13970995852 27941991704 55883983408 56836551307 113673102614 227346205228 454692410456 625202064377 909384820912 1250404128754 2500808257508 5001616515016 10003233030032