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210022000210 = 25112416169401
BaseRepresentation
bin1100001110011001001…
…0010110011001010010
3202002002210110001020101
43003212102112121102
511420111113001320
6240252140203014
721113353355341
oct3034622263122
9662083401211
10210022000210
1181084a42300
1234853b3946a
1316a60740309
14a24512db58
1556e322ac0a
hex30e6496652

210022000210 has 96 divisors (see below), whose sum is σ = 432650402352. Its totient is φ = 73286400000.

The previous prime is 210022000193. The next prime is 210022000213. The reversal of 210022000210 is 12000220012.

It can be written as a sum of positive squares in 8 ways, for example, as 9517758481 + 200504241729 = 97559^2 + 447777^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210022000213) by changing a digit.

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, 2991510 + ... + 3060910.

Almost surely, 2210022000210 is an apocalyptic number.

210022000210 is an abundant number, since it is smaller than the sum of its proper divisors (222628402142).

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

210022000210 is a wasteful number, since it uses less digits than its factorization.

210022000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69532 (or 69521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210022000210 its reverse (12000220012), we get a palindrome (222022220222).

It can be divided in two parts, 2100220002 and 10, that added together give a palindrome (2100220012).

The spelling of 210022000210 in words is "two hundred ten billion, twenty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 41 55 61 82 110 121 122 205 242 305 410 451 605 610 671 902 1210 1342 2255 2501 3355 4510 4961 5002 6710 7381 9922 12505 14762 24805 25010 27511 36905 49610 55022 69401 73810 137555 138802 275110 302621 347005 605242 694010 763411 1513105 1526822 2845441 3026210 3817055 4233461 5690882 7634110 8397521 8466922 14227205 16795042 21167305 28454410 31299851 41987605 42334610 46568071 62599702 83975210 93136142 156499255 173571901 232840355 312998510 344298361 347143802 465680710 512248781 688596722 867859505 1024497562 1721491805 1735719010 1909290911 2561243905 3442983610 3818581822 5122487810 9546454555 19092909110 21002200021 42004400042 105011000105 210022000210