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2003123142 = 233417112743
BaseRepresentation
bin111011101100101…
…0011101111000110
312011121020012101000
41313121103233012
513100244420032
6530433514130
7100432160106
oct16731235706
95147205330
102003123142
11938790079
1247aa12946
1325bccba87
1415006d206
15baccce7c
hex77653bc6

2003123142 has 64 divisors (see below), whose sum is σ = 4624542720. Its totient is φ = 642196800.

The previous prime is 2003123123. The next prime is 2003123147. The reversal of 2003123142 is 2413213002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003123147) 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 31 ways as a sum of consecutive naturals, for example, 150823 + ... + 163565.

It is an arithmetic number, because the mean of its divisors is an integer number (72258480).

Almost surely, 22003123142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312271360).

2003123142 is an abundant number, since it is smaller than the sum of its proper divisors (2621419578).

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

2003123142 is a wasteful number, since it uses less digits than its factorization.

2003123142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2003123142 is about 44756.2637180540. The cubic root of 2003123142 is about 1260.5765275462.

Adding to 2003123142 its reverse (2413213002), we get a palindrome (4416336144).

The spelling of 2003123142 in words is "two billion, three million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 213 246 369 426 639 738 1107 1278 1917 2214 2911 3834 5822 8733 12743 17466 25486 26199 38229 52398 76458 78597 114687 157194 229374 344061 522463 688122 904753 1044926 1567389 1809506 2714259 3134778 4702167 5428518 8142777 9404334 14106501 16285554 24428331 28213002 37094873 48856662 74189746 111284619 222569238 333853857 667707714 1001561571 2003123142