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1000451023 = 11131959792
BaseRepresentation
bin111011101000011…
…010101111001111
32120201112011210121
4323220122233033
54022103413043
6243135045411
733535456555
oct7350325717
92521464717
101000451023
11473801730
1223b070867
1312c367570
1496c27bd5
155cc6eded
hex3ba1abcf

1000451023 has 48 divisors (see below), whose sum is σ = 1274313600. Its totient is φ = 771975360.

The previous prime is 1000451021. The next prime is 1000451027. The reversal of 1000451023 is 3201540001.

It is not a de Polignac number, because 1000451023 - 21 = 1000451021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000450988 and 1000451006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000451021) 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 47 ways as a sum of consecutive naturals, for example, 12663898 + ... + 12663976.

It is an arithmetic number, because the mean of its divisors is an integer number (26548200).

Almost surely, 21000451023 is an apocalyptic number.

1000451023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000451023 is a deficient number, since it is larger than the sum of its proper divisors (273862577).

1000451023 is a wasteful number, since it uses less digits than its factorization.

1000451023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1000451023 is about 31629.9070975556. The cubic root of 1000451023 is about 1000.1503184032.

Adding to 1000451023 its reverse (3201540001), we get a palindrome (4201991024).

The spelling of 1000451023 in words is "one billion, four hundred fifty-one thousand, twenty-three".

Divisors: 1 11 13 19 59 79 143 209 247 649 767 869 1027 1121 1501 2717 4661 6241 8437 11297 12331 14573 16511 19513 51271 60593 68651 81133 88559 118579 160303 214643 368219 666523 892463 974149 1151267 1304369 1541527 4050409 4786847 6996161 12663937 16956797 52655317 76957771 90950093 1000451023