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20031000210 = 232513171007089
BaseRepresentation
bin10010101001111100…
…001100111010010010
31220200222212020112200
4102221330030322102
5312010414001320
613111353504030
71306246456344
oct225174147222
956628766480
1020031000210
118549a82a31
123a70412016
131b72c3cc60
14d80475294
157c3841290
hex4a9f0ce92

20031000210 has 96 divisors (see below), whose sum is σ = 59386083120. Its totient is φ = 4640661504.

The previous prime is 20031000167. The next prime is 20031000259. The reversal of 20031000210 is 1200013002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11643920649 + 8387079561 = 107907^2 + 91581^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20031000192 and 20031000201.

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 47 ways as a sum of consecutive naturals, for example, 483655 + ... + 523434.

Almost surely, 220031000210 is an apocalyptic number.

20031000210 is an abundant number, since it is smaller than the sum of its proper divisors (39355082910).

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

20031000210 is a wasteful number, since it uses less digits than its factorization.

20031000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007132 (or 1007129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20031000210 its reverse (1200013002), we get a palindrome (21231013212).

The spelling of 20031000210 in words is "twenty billion, thirty-one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 1007089 2014178 3021267 5035445 6042534 9063801 10070890 13092157 15106335 17120513 18127602 26184314 30212670 34241026 39276471 45319005 51361539 65460785 78552942 85602565 90638010 102723078 117829413 130921570 154084617 171205130 196382355 222566669 235658826 256807695 308169234 392764710 445133338 513615390 589147065 667700007 770423085 1112833345 1178294130 1335400014 1540846170 2003100021 2225666690 3338500035 4006200042 6677000070 10015500105 20031000210