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10003311296 = 261125575557
BaseRepresentation
bin10010101000011111…
…00110101011000000
3221211010222212100222
421110033212223000
5130441321430141
64332341402212
7502614512606
oct112417465300
927733885328
1010003311296
114273676920
121b32109368
13c355a9714
146ac785876
153d831414b
hex2543e6ac0

10003311296 has 56 divisors (see below), whose sum is σ = 21667262736. Its totient is φ = 4544363520.

The previous prime is 10003311287. The next prime is 10003311299. The reversal of 10003311296 is 69211330001.

It is a super-3 number, since 3×100033112963 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003311299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1797350 + ... + 1802906.

It is an arithmetic number, because the mean of its divisors is an integer number (386915406).

Almost surely, 210003311296 is an apocalyptic number.

10003311296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10003311296 is an abundant number, since it is smaller than the sum of its proper divisors (11663951440).

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

10003311296 is a wasteful number, since it uses less digits than its factorization.

10003311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 10003311296 its reverse (69211330001), we get a palindrome (79214641297).

The spelling of 10003311296 in words is "ten billion, three million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 2557 5114 5557 10228 11114 20456 22228 28127 40912 44456 56254 61127 81824 88912 112508 122254 163648 177824 225016 244508 355648 450032 489016 900064 978032 1800128 1956064 3912128 14209249 28418498 56836996 113673992 156301739 227347984 312603478 454695968 625206956 909391936 1250413912 2500827824 5001655648 10003311296