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1000201000 = 23532343487
BaseRepresentation
bin111011100111011…
…101101100101000
32120201001110211111
4323213131230220
54022022413000
6243125440104
733533365621
oct7347355450
92521043744
101000201000
114736508a7
1223ab70034
1312c2aa816
1496ba0a48
155cc20cba
hex3b9ddb28

1000201000 has 64 divisors (see below), whose sum is σ = 2442286080. Its totient is φ = 382676800.

The previous prime is 1000200997. The next prime is 1000201003. The reversal of 1000201000 is 1020001.

It is an interprime number because it is at equal distance from previous prime (1000200997) and next prime (1000201003).

It is a super-3 number, since 3×10002010003 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1000201003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257 + ... + 44743.

It is an arithmetic number, because the mean of its divisors is an integer number (38160720).

Almost surely, 21000201000 is an apocalyptic number.

1000201000 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 1000201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221143040).

1000201000 is an abundant number, since it is smaller than the sum of its proper divisors (1442085080).

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

1000201000 is a wasteful number, since it uses less digits than its factorization.

1000201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43531 (or 43517 counting only the distinct ones).

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

The square root of 1000201000 is about 31625.9545310493. The cubic root of 1000201000 is about 1000.0669955115.

Adding to 1000201000 its reverse (1020001), we get a palindrome (1001221001).

The spelling of 1000201000 in words is "one billion, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 43487 86974 173948 217435 347896 434870 869740 1000201 1087175 1739480 2000402 2174350 4000804 4348700 5001005 5435875 8001608 8697400 10002010 10871750 20004020 21743500 25005025 40008040 43487000 50010050 100020100 125025125 200040200 250050250 500100500 1000201000