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1001242000 = 24531171641
BaseRepresentation
bin111011101011011…
…011110110010000
32120210000100211001
4323223123312100
54022304221000
6243204031344
733545262613
oct7353336620
92523010731
101001242000
114741a1a30
1223b392554
1312c5835b5
1496d9217a
155cd7946a
hex3badbd90

1001242000 has 160 divisors (see below), whose sum is σ = 2682471168. Its totient is φ = 358400000.

The previous prime is 1001241991. The next prime is 1001242009. The reversal of 1001242000 is 2421001.

It is an interprime number because it is at equal distance from previous prime (1001241991) and next prime (1001242009).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001242009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561680 + ... + 1562320.

Almost surely, 21001242000 is an apocalyptic number.

1001242000 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 1001242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341235584).

1001242000 is an abundant number, since it is smaller than the sum of its proper divisors (1681229168).

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

1001242000 is a wasteful number, since it uses less digits than its factorization.

1001242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1001242000 is about 31642.4082522175. The cubic root of 1001242000 is about 1000.4138287222.

Adding to 1001242000 its reverse (2421001), we get a palindrome (1003663001).

The spelling of 1001242000 in words is "one billion, one million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 125 142 176 200 220 250 275 284 355 400 440 500 550 568 641 710 781 880 1000 1100 1136 1282 1375 1420 1562 1775 2000 2200 2564 2750 2840 3124 3205 3550 3905 4400 5128 5500 5680 6248 6410 7051 7100 7810 8875 10256 11000 12496 12820 14102 14200 15620 16025 17750 19525 22000 25640 28204 28400 31240 32050 35255 35500 39050 45511 51280 56408 62480 64100 70510 71000 78100 80125 91022 97625 112816 128200 141020 142000 156200 160250 176275 182044 195250 227555 256400 282040 312400 320500 352550 364088 390500 455110 500621 564080 641000 705100 728176 781000 881375 910220 1001242 1137775 1282000 1410200 1562000 1762750 1820440 2002484 2275550 2503105 2820400 3525500 3640880 4004968 4551100 5006210 5688875 7051000 8009936 9102200 10012420 11377750 12515525 14102000 18204400 20024840 22755500 25031050 40049680 45511000 50062100 62577625 91022000 100124200 125155250 200248400 250310500 500621000 1001242000