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10003200102 = 23271093472099
BaseRepresentation
bin10010101000011110…
…01011100001100110
3221211010210012211200
421110033023201212
5130441304400402
64332335143330
7502613540460
oct112417134146
927733705750
1010003200102
114273600325
121b32074b46
13c3556ac1c
146ac757130
153d82e121c
hex2543cb866

10003200102 has 96 divisors (see below), whose sum is σ = 25081056000. Its totient is φ = 2822330304.

The previous prime is 10003200101. The next prime is 10003200113. The reversal of 10003200102 is 20100230001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4764649 + ... + 4766747.

It is an arithmetic number, because the mean of its divisors is an integer number (261261000).

Almost surely, 210003200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540528000).

10003200102 is an abundant number, since it is smaller than the sum of its proper divisors (15077855898).

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

10003200102 is a wasteful number, since it uses less digits than its factorization.

10003200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10003200102 its reverse (20100230001), we get a palindrome (30103430103).

The spelling of 10003200102 in words is "ten billion, three million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 347 654 694 763 981 1041 1526 1962 2082 2099 2289 2429 3123 4198 4578 4858 6246 6297 6867 7287 12594 13734 14574 14693 18891 21861 29386 37782 37823 43722 44079 75646 88158 113469 132237 226938 228791 264474 264761 340407 457582 529522 680814 686373 728353 794283 1372746 1456706 1588566 1601537 2059119 2185059 2382849 3203074 4118238 4370118 4765698 4804611 5098471 6555177 9609222 10196942 13110354 14413833 15295413 28827666 30590826 45886239 79390477 91772478 158780954 238171431 476342862 555733339 714514293 1111466678 1429028586 1667200017 3334400034 5001600051 10003200102