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3821011002 = 233974191741
BaseRepresentation
bin1110001111000000…
…0000000000111010
3100212021220110201000
43203300000000322
530311134323002
61431053305430
7163455025524
oct34360000072
910767813630
103821011002
111690952136
128a7795276
1348b812a73
14283680a14
151756bb61c
hexe3c0003a

3821011002 has 64 divisors (see below), whose sum is σ = 8604086400. Its totient is φ = 1256808960.

The previous prime is 3821010997. The next prime is 3821011009. The reversal of 3821011002 is 2001101283.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3821011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193852 + ... + 2195592.

It is an arithmetic number, because the mean of its divisors is an integer number (134438850).

Almost surely, 23821011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302043200).

3821011002 is an abundant number, since it is smaller than the sum of its proper divisors (4783075398).

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

3821011002 is a wasteful number, since it uses less digits than its factorization.

3821011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3821011002 is about 61814.3268344807. The cubic root of 3821011002 is about 1563.3615603226.

Adding to 3821011002 its reverse (2001101283), we get a palindrome (5822112285).

The spelling of 3821011002 in words is "three billion, eight hundred twenty-one million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 419 582 838 873 1257 1741 1746 2514 2619 3482 3771 5223 5238 7542 10446 11313 15669 22626 31338 40643 47007 81286 94014 121929 168877 243858 337754 365787 506631 729479 731574 1013262 1097361 1458958 1519893 2188437 2194722 3039786 4376874 4559679 6565311 9119358 13130622 19695933 39391866 70759463 141518926 212278389 424556778 636835167 1273670334 1910505501 3821011002