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10003110331 = 291732238941
BaseRepresentation
bin10010101000011101…
…10101100110111011
3221211010121122200211
421110032311212323
5130441244012311
64332333211551
7502613014654
oct112416654673
927733548624
1010003110331
114273549935
121b32030bb7
13c355390c6
146ac73252b
153d82c4821
hex2543b59bb

10003110331 has 16 divisors (see below), whose sum is σ = 10455701760. Its totient is φ = 9558218880.

The previous prime is 10003110323. The next prime is 10003110361. The reversal of 10003110331 is 13301130001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10003110331 - 23 = 10003110323 is a prime.

It is a super-2 number, since 2×100031103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003110361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114321 + ... + 1123261.

It is an arithmetic number, because the mean of its divisors is an integer number (653481360).

Almost surely, 210003110331 is an apocalyptic number.

10003110331 is a deficient number, since it is larger than the sum of its proper divisors (452591429).

10003110331 is a wasteful number, since it uses less digits than its factorization.

10003110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10003110331 its reverse (13301130001), we get a palindrome (23304240332).

The spelling of 10003110331 in words is "ten billion, three million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 29 173 223 5017 6467 8941 38579 259289 1118791 1546793 1993843 44856997 57821447 344934839 10003110331