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1003023223230 = 235711342268151
BaseRepresentation
bin11101001100010001101…
…01111100100110111110
310112212222102011002002210
432212020311330212332
5112413142421120410
62044441004401250
7132315564503640
oct16461065744676
93485872132083
101003023223230
1135741a508296
12142486546226
137377a721622
1436791b76890
151b156d96220
hexe988d7c9be

1003023223230 has 64 divisors (see below), whose sum is σ = 2775495932928. Its totient is φ = 227233574400.

The previous prime is 1003023223229. The next prime is 1003023223243. The reversal of 1003023223230 is 323223203001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1003023223197 and 1003023223206.

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 31 ways as a sum of consecutive naturals, for example, 21110346 + ... + 21157805.

It is an arithmetic number, because the mean of its divisors is an integer number (43367123952).

Almost surely, 21003023223230 is an apocalyptic number.

1003023223230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003023223230 is an abundant number, since it is smaller than the sum of its proper divisors (1772472709698).

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

1003023223230 is a wasteful number, since it uses less digits than its factorization.

1003023223230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42268281.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1003023223230 its reverse (323223203001), we get a palindrome (1326246426231).

The spelling of 1003023223230 in words is "one trillion, three billion, twenty-three million, two hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 7910 11865 23730 42268151 84536302 126804453 211340755 253608906 295877057 422681510 591754114 634022265 887631171 1268044530 1479385285 1775262342 2958770570 4438155855 4776301063 8876311710 9552602126 14328903189 23881505315 28657806378 33434107441 47763010630 66868214882 71644515945 100302322323 143289031890 167170537205 200604644646 334341074410 501511611615 1003023223230