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1042310500 = 225371127073
BaseRepresentation
bin111110001000000…
…110010101100100
32200122021212012121
4332020012111210
54113312414000
6251232155324
734554331060
oct7610062544
92618255177
101042310500
114953a2340
12251098b44
13137c3259a
149c602aa0
156178cb1a
hex3e206564

1042310500 has 96 divisors (see below), whose sum is σ = 2838221568. Its totient is φ = 324864000.

The previous prime is 1042310473. The next prime is 1042310557. The reversal of 1042310500 is 50132401.

It is a super-3 number, since 3×10423105003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24964 + ... + 52036.

It is an arithmetic number, because the mean of its divisors is an integer number (29564808).

Almost surely, 21042310500 is an apocalyptic number.

1042310500 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 1042310500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419110784).

1042310500 is an abundant number, since it is smaller than the sum of its proper divisors (1795911068).

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

1042310500 is a wasteful number, since it uses less digits than its factorization.

1042310500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27110 (or 27098 counting only the distinct ones).

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

The square root of 1042310500 is about 32284.8339007652. The cubic root of 1042310500 is about 1013.9091388823.

Adding to 1042310500 its reverse (50132401), we get a palindrome (1092442901).

The spelling of 1042310500 in words is "one billion, forty-two million, three hundred ten thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 550 700 770 875 1100 1375 1540 1750 1925 2750 3500 3850 5500 7700 9625 19250 27073 38500 54146 108292 135365 189511 270730 297803 379022 541460 595606 676825 758044 947555 1191212 1353650 1489015 1895110 2084621 2707300 2978030 3384125 3790220 4169242 4737775 5956060 6768250 7445075 8338484 9475550 10423105 13536500 14890150 18951100 20846210 23688875 29780300 37225375 41692420 47377750 52115525 74450750 94755500 104231050 148901500 208462100 260577625 521155250 1042310500