Search a number
-
+
200212212110022 = 2357311898429881
BaseRepresentation
bin101101100001011110001001…
…110010000101001011000110
3222020220002201022011012200000
4231201132021302011023012
5202220234102300010042
61545452115343302130
760112566154431030
oct5541361162051306
9866802638135600
10200212212110022
115888058223a562
121a5565748aa946
138793c13679c58
143762473978c50
151822ea46d174c
hexb61789c852c6

200212212110022 has 96 divisors (see below), whose sum is σ = 530709870372864. Its totient is φ = 55358215300800.

The previous prime is 200212212109981. The next prime is 200212212110047. The reversal of 200212212110022 is 220011212212002.

It is a happy number.

200212212110022 is a `hidden beast` number, since 200 + 212 + 21 + 211 + 0 + 0 + 22 = 666.

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 = 200212212109977 and 200212212110004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949109479 + ... + 949320402.

It is an arithmetic number, because the mean of its divisors is an integer number (5528227816384).

Almost surely, 2200212212110022 is an apocalyptic number.

200212212110022 is an abundant number, since it is smaller than the sum of its proper divisors (330497658262842).

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

200212212110022 is a wasteful number, since it uses less digits than its factorization.

200212212110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898429936 (or 1898429924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212212110022 its reverse (220011212212002), we get a palindrome (420223424322024).

The spelling of 200212212110022 in words is "two hundred trillion, two hundred twelve billion, two hundred twelve million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 486 558 567 651 837 1134 1302 1674 1701 1953 2511 3402 3906 5022 5859 7533 11718 15066 17577 35154 52731 105462 1898429881 3796859762 5695289643 11390579286 13289009167 17085868929 26578018334 34171737858 39867027501 51257606787 58851326311 79734055002 102515213574 117702652622 119601082503 153772820361 176553978933 239202165006 307545640722 353107957866 358803247509 411959284177 461318461083 529661936799 717606495018 823918568354 922636922166 1059323873598 1076409742527 1235877852531 1588985810397 2152819485054 2471755705062 3177971620794 3229229227581 3707633557593 4766957431191 6458458455162 7415267115186 9533914862382 11122900672779 14300872293573 22245801345558 28601744587146 33368702018337 66737404036674 100106106055011 200212212110022