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3141223020 = 22325131342403
BaseRepresentation
bin1011101100111011…
…0100001001101100
322002220202122220100
42323032310021230
522413123114040
61235411151100
7140561645415
oct27316641154
98086678810
103141223020
111372158391
12737ba5490
133b0a2c460
1421b28880c
15135b8cb30
hexbb3b426c

3141223020 has 72 divisors (see below), whose sum is σ = 10261336176. Its totient is φ = 773223552.

The previous prime is 3141222979. The next prime is 3141223081. The reversal of 3141223020 is 203221413.

3141223020 is a `hidden beast` number, since 3 + 1 + 412 + 230 + 20 = 666.

It is a super-2 number, since 2×31412230202 = 19734564122755840800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3141222984 and 3141223002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 668862 + ... + 673541.

It is an arithmetic number, because the mean of its divisors is an integer number (142518558).

Almost surely, 23141223020 is an apocalyptic number.

3141223020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141223020 is an abundant number, since it is smaller than the sum of its proper divisors (7120113156).

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

3141223020 is a wasteful number, since it uses less digits than its factorization.

3141223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342431 (or 1342426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3141223020 is about 56046.6147059749. The cubic root of 3141223020 is about 1464.5344449785.

Adding to 3141223020 its reverse (203221413), we get a palindrome (3344444433).

The spelling of 3141223020 in words is "three billion, one hundred forty-one million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1342403 2684806 4027209 5369612 6712015 8054418 12081627 13424030 16108836 17451239 20136045 24163254 26848060 34902478 40272090 48326508 52353717 60408135 69804956 80544180 87256195 104707434 120816270 157061151 174512390 209414868 241632540 261768585 314122302 349024780 523537170 628244604 785305755 1047074340 1570611510 3141223020