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4031130020 = 225372147229
BaseRepresentation
bin1111000001000110…
…0010100110100100
3101101221021121210212
43300101202212210
531223432130040
61504001034552
7201616016441
oct36021424644
911357247725
104031130020
111789516715
12946025a58
134c3200b48
142a35389c8
15188d73d65
hexf04629a4

4031130020 has 36 divisors (see below), whose sum is σ = 8700409620. Its totient is φ = 1568861568.

The previous prime is 4031130013. The next prime is 4031130023. The reversal of 4031130020 is 200311304.

It can be written as a sum of positive squares in 6 ways, for example, as 1065891904 + 2965238116 = 32648^2 + 54454^2 .

It is a super-3 number, since 3×40311300203 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4031129977 and 4031130004.

It is not an unprimeable number, because it can be changed into a prime (4031130023) 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 11 ways as a sum of consecutive naturals, for example, 46235 + ... + 100994.

It is an arithmetic number, because the mean of its divisors is an integer number (241678045).

Almost surely, 24031130020 is an apocalyptic number.

It is an amenable number.

4031130020 is an abundant number, since it is smaller than the sum of its proper divisors (4669279600).

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

4031130020 is a wasteful number, since it uses less digits than its factorization.

4031130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147312 (or 147273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4031130020 is about 63491.1806473939. The cubic root of 4031130020 is about 1591.5084007116.

Adding to 4031130020 its reverse (200311304), we get a palindrome (4231441324).

The spelling of 4031130020 in words is "four billion, thirty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 147229 294458 588916 736145 1472290 2944580 5447473 10894946 21789892 27237365 54474730 108949460 201556501 403113002 806226004 1007782505 2015565010 4031130020