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210100202112213 = 33719101883965537
BaseRepresentation
bin101111110001010111000011…
…111010100000010011010101
31000112220101100022211000111000
4233301113003322200103111
5210014240203220042323
62022502411141333513
762153144603613060
oct5761270372402325
91015811308730430
10210100202112213
1160a42aa4878356
121b6929b0707299
139030496a7065a
1439c4c929858d7
1519452c5d41e43
hexbf15c3ea04d5

210100202112213 has 128 divisors (see below), whose sum is σ = 378203544576000. Its totient is φ = 112597873459200.

The previous prime is 210100202112211. The next prime is 210100202112233. The reversal of 210100202112213 is 312211202001012.

210100202112213 is a `hidden beast` number, since 210 + 1 + 0 + 0 + 20 + 211 + 221 + 3 = 666.

It is not a de Polignac number, because 210100202112213 - 21 = 210100202112211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100202112211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3205792981 + ... + 3205858517.

It is an arithmetic number, because the mean of its divisors is an integer number (2954715192000).

Almost surely, 2210100202112213 is an apocalyptic number.

It is an amenable number.

210100202112213 is a deficient number, since it is larger than the sum of its proper divisors (168103342463787).

210100202112213 is a wasteful number, since it uses less digits than its factorization.

210100202112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74512 (or 74506 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210100202112213 its reverse (312211202001012), we get a palindrome (522311404113225).

The spelling of 210100202112213 in words is "two hundred ten trillion, one hundred billion, two hundred two million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 101 133 171 189 303 399 513 707 909 1197 1919 2121 2727 3591 5757 6363 8839 13433 17271 19089 26517 40299 51813 61873 65537 79551 120897 167941 185619 196611 238653 362691 458759 503823 556857 589833 892739 1175587 1245203 1376277 1511469 1670571 1769499 2678217 3526761 3735609 4128831 4534407 6249173 6619237 8034651 8716421 10580283 11206827 12386493 16962041 18747519 19857711 24103953 26149263 31740849 33620481 46334659 50886123 56242557 59573133 78447789 118734287 125765503 139003977 152658369 168727671 178719399 235343367 356202861 377296509 417011931 457975107 579281543 880358521 1068608583 1131889527 1251035793 1737844629 2641075563 3205825749 3395668581 4054970801 5213533887 7923226689 11006349317 12164912403 15640601661 23769680067 33019047951 36494737209 58507435843 77044445219 99057143853 109484211627 175522307529 231133335657 297171431559 409552050901 526566922587 693400006971 1111641281017 1228656152703 1579700767761 2080200020913 3334923843051 3685968458109 7781488967119 10004771529153 11057905374327 23344466901357 30014314587459 70033400704071 210100202112213