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1002131800 = 235240912251
BaseRepresentation
bin111011101110110…
…101000101011000
32120211200120101121
4323232311011120
54023021204200
6243235055024
733555660025
oct7356650530
92524616347
101002131800
1147474a4aa
1223b741474
1312c8055c7
149714454c
155cea2e1a
hex3bbb5158

1002131800 has 48 divisors (see below), whose sum is σ = 2335843800. Its totient is φ = 399840000.

The previous prime is 1002131777. The next prime is 1002131803. The reversal of 1002131800 is 81312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75675 + ... + 87925.

Almost surely, 21002131800 is an apocalyptic number.

1002131800 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 1002131800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167921900).

1002131800 is an abundant number, since it is smaller than the sum of its proper divisors (1333712000).

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

1002131800 is a wasteful number, since it uses less digits than its factorization.

1002131800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1002131800 is about 31656.4653743907. The cubic root of 1002131800 is about 1000.7100956448.

Adding to 1002131800 its reverse (81312001), we get a palindrome (1083443801).

The spelling of 1002131800 in words is "one billion, two million, one hundred thirty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1636 2045 3272 4090 8180 10225 12251 16360 20450 24502 40900 49004 61255 81800 98008 122510 245020 306275 490040 612550 1225100 2450200 5010659 10021318 20042636 25053295 40085272 50106590 100213180 125266475 200426360 250532950 501065900 1002131800