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1003023410004 = 2232711361841057
BaseRepresentation
bin11101001100010001101…
…10101010001101010100
310112212222102111120022100
432212020312222031110
5112413142443110004
62044441012402100
7132315566212320
oct16461066521524
93485872446270
101003023410004
1135741a625650
12142486616330
137377a788645
1436791bc4980
151b156dd1739
hexe988daa354

1003023410004 has 72 divisors (see below), whose sum is σ = 3161043482688. Its totient is φ = 260525560320.

The previous prime is 1003023409963. The next prime is 1003023410021. The reversal of 1003023410004 is 4000143203001.

It is a super-2 number, since 2×10030234100042 (a number of 25 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180917757 + ... + 180923300.

It is an arithmetic number, because the mean of its divisors is an integer number (43903381704).

Almost surely, 21003023410004 is an apocalyptic number.

1003023410004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003023410004 is an abundant number, since it is smaller than the sum of its proper divisors (2158020072684).

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

1003023410004 is a wasteful number, since it uses less digits than its factorization.

1003023410004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361841085 (or 361841080 counting only the distinct ones).

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

Adding to 1003023410004 its reverse (4000143203001), we get a palindrome (5003166613005).

The spelling of 1003023410004 in words is "one trillion, three billion, twenty-three million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 361841057 723682114 1085523171 1447364228 2171046342 2532887399 3256569513 3980251627 4342092684 5065774798 6513139026 7598662197 7960503254 10131549596 11940754881 13026278052 15197324394 15921006508 22795986591 23881509762 27861761389 30394648788 35822264643 45591973182 47763019524 55723522778 71644529286 83585284167 91183946364 111447045556 143289058572 167170568334 250755852501 334341136668 501511705002 1003023410004