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210200022000213 = 37291987500934679
BaseRepresentation
bin101111110010110100000001…
…101001001010001001010101
31000120020220222221112201111220
4233302310001221022021111
5210022404121113001323
62023020320152120553
762163310332635520
oct5762640151121125
91016226887481456
10210200022000213
1160a81368574663
121b6aa20a096159
139039a1416a23b
1439c9a41b1dbb7
151947bb93500e3
hexbf2d01a4a255

210200022000213 has 64 divisors (see below), whose sum is σ = 331592292864000. Its totient is φ = 115887577365504.

The previous prime is 210200022000127. The next prime is 210200022000223. The reversal of 210200022000213 is 312000220002012.

It is a happy number.

It is not a de Polignac number, because 210200022000213 - 212 = 210200021996117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210200022000192 and 210200022000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210200022000223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6061288408 + ... + 6061323086.

It is an arithmetic number, because the mean of its divisors is an integer number (5181129576000).

Almost surely, 2210200022000213 is an apocalyptic number.

It is an amenable number.

210200022000213 is a deficient number, since it is larger than the sum of its proper divisors (121392270863787).

210200022000213 is a wasteful number, since it uses less digits than its factorization.

210200022000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41714.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210200022000213 its reverse (312000220002012), we get a palindrome (522200242002225).

The spelling of 210200022000213 in words is "two hundred ten trillion, two hundred billion, twenty-two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 21 29 87 203 609 1987 5009 5961 13909 15027 34679 35063 41727 57623 104037 105189 145261 172869 242753 403361 435783 728259 1005691 1016827 1210083 3017073 3050481 7039837 9952883 21119511 29858649 68907173 69670181 173707111 206721519 209010543 288633607 482350211 521121333 865900821 1215949777 1447050633 1998308017 2020435249 3647849331 5037506219 5994924051 6061305747 13988156119 15112518657 35262543533 41964468357 105787630599 345156029557 1035468088671 2416092206899 7248276620697 10009524857153 30028574571459 70066674000071 210200022000213