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4104131020 = 2251137571883
BaseRepresentation
bin1111010010100000…
…0001000111001100
3101121000122110100121
43310220001013030
531401124143040
61515125434324
7203463352363
oct36450010714
911530573317
104104131020
111816747420
1296656b9a4
135053805c2
142ad0dc7da
15190493c4a
hexf4a011cc

4104131020 has 96 divisors (see below), whose sum is σ = 9684170496. Its totient is φ = 1447891200.

The previous prime is 4104130997. The next prime is 4104131021. The reversal of 4104131020 is 201314014.

It is a junction number, because it is equal to n+sod(n) for n = 4104130985 and 4104131003.

It is not an unprimeable number, because it can be changed into a prime (4104131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4647499 + ... + 4648381.

It is an arithmetic number, because the mean of its divisors is an integer number (100876776).

Almost surely, 24104131020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842085248).

4104131020 is an abundant number, since it is smaller than the sum of its proper divisors (5580039476).

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

4104131020 is a wasteful number, since it uses less digits than its factorization.

4104131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4104131020 is about 64063.4920996350. The cubic root of 4104131020 is about 1601.0580267704.

Adding to 4104131020 its reverse (201314014), we get a palindrome (4305445034).

The spelling of 4104131020 in words is "four billion, one hundred four million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 571 740 814 883 1142 1628 1766 2035 2284 2855 3532 4070 4415 5710 6281 8140 8830 9713 11420 12562 17660 19426 21127 25124 31405 32671 38852 42254 48565 62810 65342 84508 97130 105635 125620 130684 163355 194260 211270 232397 326710 359381 422540 464794 504193 653420 718762 929588 1008386 1161985 1437524 1796905 2016772 2323970 2520965 3593810 4647940 5041930 5546123 7187620 10083860 11092246 18655141 22184492 27730615 37310282 55461230 74620564 93275705 110922460 186551410 205206551 373102820 410413102 820826204 1026032755 2052065510 4104131020