Base | Representation |
---|---|
bin | 1001000110010001010011… |
… | …1100011100101111111100 |
3 | 1022102022100021122010002200 |
4 | 2101210110330130233330 |
5 | 2302343310014114400 |
6 | 33135244431151500 |
7 | 2051500563644454 |
oct | 221442474345774 |
9 | 38368307563080 |
10 | 10003330223100 |
11 | 3207430140a15 |
12 | 1156867075590 |
13 | 577405090236 |
14 | 268241534d64 |
15 | 1253224b5b00 |
hex | 91914f1cbfc |
10003330223100 has 432 divisors, whose sum is σ = 32352999588000. Its totient is φ = 2583349493760.
The previous prime is 10003330223099. The next prime is 10003330223119. The reversal of 10003330223100 is 132203330001.
10003330223100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 330 + 22 + 310 + 0 = 666.
It is a super-2 number, since 2×100033302231002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12095924887 + ... + 12095925713.
It is an arithmetic number, because the mean of its divisors is an integer number (74891202750).
Almost surely, 210003330223100 is an apocalyptic number.
10003330223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10003330223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176499794000).
10003330223100 is an abundant number, since it is smaller than the sum of its proper divisors (22349669364900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10003330223100 is a wasteful number, since it uses less digits than its factorization.
10003330223100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2142 (or 2132 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10003330223100 its reverse (132203330001), we get a palindrome (10135533553101).
The spelling of 10003330223100 in words is "ten trillion, three billion, three hundred thirty million, two hundred twenty-three thousand, one hundred".
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