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10003003032 = 2331137890163
BaseRepresentation
bin10010101000011100…
…11011011010011000
3221211010102012111210
421110032123122120
5130441232044112
64332331023120
7502612060101
oct112416333230
927733365453
1010003003032
114273486260
121b31b9aaa0
13c354cc309
146ac7053a8
153d82a2b3c
hex25439b698

10003003032 has 32 divisors (see below), whose sum is σ = 27280918080. Its totient is φ = 3031212960.

The previous prime is 10003003009. The next prime is 10003003033. The reversal of 10003003032 is 23030030001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10003002999 and 10003003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003003033) 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, 18944818 + ... + 18945345.

It is an arithmetic number, because the mean of its divisors is an integer number (852528690).

Almost surely, 210003003032 is an apocalyptic number.

10003003032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003003032 is an abundant number, since it is smaller than the sum of its proper divisors (17277915048).

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

10003003032 is a wasteful number, since it uses less digits than its factorization.

10003003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37890183 (or 37890179 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10003003032 its reverse (23030030001), we get a palindrome (33033033033).

The spelling of 10003003032 in words is "ten billion, three million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 37890163 75780326 113670489 151560652 227340978 303121304 416791793 454681956 833583586 909363912 1250375379 1667167172 2500750758 3334334344 5001501516 10003003032