Search a number
-
+
231331030020 = 223251285172389
BaseRepresentation
bin1101011101110001100…
…1110110010000000100
3211010002212010220210200
43113130121312100010
512242231220430040
6254134430450500
722466412211566
oct3273431662004
9733085126720
10231331030020
118a11a376842
1238a00363a30
1318a78394cac
14b2a7207336
15603dd6c630
hex35dc676404

231331030020 has 36 divisors (see below), whose sum is σ = 701704124940. Its totient is φ = 61688274624.

The previous prime is 231331029983. The next prime is 231331030061. The reversal of 231331030020 is 20030133132.

231331030020 is a `hidden beast` number, since 2 + 31 + 3 + 310 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108500407236 + 122830622784 = 329394^2 + 350472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2313310300202 (a number of 24 digits) 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 = 231331029975 and 231331030002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642586015 + ... + 642586374.

Almost surely, 2231331030020 is an apocalyptic number.

231331030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231331030020 is an abundant number, since it is smaller than the sum of its proper divisors (470373094920).

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

231331030020 is a wasteful number, since it uses less digits than its factorization.

231331030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285172404 (or 1285172399 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 231331030020 its reverse (20030133132), we get a palindrome (251361163152).

The spelling of 231331030020 in words is "two hundred thirty-one billion, three hundred thirty-one million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1285172389 2570344778 3855517167 5140689556 6425861945 7711034334 11566551501 12851723890 15422068668 19277585835 23133103002 25703447780 38555171670 46266206004 57832757505 77110343340 115665515010 231331030020