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1000010200 = 235271933701
BaseRepresentation
bin111011100110101…
…111000111011000
32120200200210002211
4323212233013120
54022000311300
6243121404504
733531642430
oct7346570730
92520623084
101000010200
11473530512
1223aa99734
1312c241a17
1496b512c0
155cbd44ba
hex3b9af1d8

1000010200 has 96 divisors (see below), whose sum is σ = 2671659360. Its totient is φ = 340992000.

The previous prime is 1000010197. The next prime is 1000010233. The reversal of 1000010200 is 20100001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1000010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268350 + ... + 272050.

It is an arithmetic number, because the mean of its divisors is an integer number (27829785).

Almost surely, 21000010200 is an apocalyptic number.

1000010200 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 1000010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335829680).

1000010200 is an abundant number, since it is smaller than the sum of its proper divisors (1671649160).

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

1000010200 is a wasteful number, since it uses less digits than its factorization.

1000010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1000010200 is about 31622.9378774332. The cubic root of 1000010200 is about 1000.0033999884.

Adding to 1000010200 its reverse (20100001), we get a palindrome (1020110201).

The spelling of 1000010200 in words is "one billion, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 193 200 280 350 386 700 772 965 1351 1400 1544 1930 2702 3701 3860 4825 5404 6755 7402 7720 9650 10808 13510 14804 18505 19300 25907 27020 29608 33775 37010 38600 51814 54040 67550 74020 92525 103628 129535 135100 148040 185050 207256 259070 270200 370100 518140 647675 714293 740200 1036280 1295350 1428586 2590700 2857172 3571465 5000051 5181400 5714344 7142930 10000102 14285860 17857325 20000204 25000255 28571720 35714650 40000408 50000510 71429300 100001020 125001275 142858600 200002040 250002550 500005100 1000010200