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1002133300 = 225272204517
BaseRepresentation
bin111011101110110…
…101011100110100
32120211200122110011
4323232311130310
54023021231200
6243235110004
733555664300
oct7356653464
92524618404
101002133300
11474750643
1223b742304
1312c8061ac
1497144d00
155cea35ba
hex3bbb5734

1002133300 has 54 divisors (see below), whose sum is σ = 2529683142. Its totient is φ = 343586880.

The previous prime is 1002133267. The next prime is 1002133303. The reversal of 1002133300 is 33312001.

It can be written as a sum of positive squares in 3 ways, for example, as 250715556 + 751417744 = 15834^2 + 27412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002133303) 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 17 ways as a sum of consecutive naturals, for example, 97359 + ... + 107158.

Almost surely, 21002133300 is an apocalyptic number.

1002133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002133300 is an abundant number, since it is smaller than the sum of its proper divisors (1527549842).

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

1002133300 is a wasteful number, since it uses less digits than its factorization.

1002133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204545 (or 204531 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1002133300 is about 31656.4890662246. The cubic root of 1002133300 is about 1000.7105949352.

Adding to 1002133300 its reverse (33312001), we get a palindrome (1035445301).

The spelling of 1002133300 in words is "one billion, two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 204517 409034 818068 1022585 1431619 2045170 2863238 4090340 5112925 5726476 7158095 10021333 10225850 14316190 20042666 20451700 28632380 35790475 40085332 50106665 71580950 100213330 143161900 200426660 250533325 501066650 1002133300