Search a number
-
+
200211001201212 = 223294783147479869
BaseRepresentation
bin101101100001011101000001…
…100110110101001000111100
3222020212222120220121200001120
4231201131001212311020330
5202220224112301414322
61545451355245310540
760112524152036451
oct5541350146651074
9866788526550046
10200211001201212
1158880010762881
121a556297265450
138793a7c836371
14376239ac09828
151822e3323da5c
hexb617419b523c

200211001201212 has 96 divisors (see below), whose sum is σ = 499496622105600. Its totient is φ = 62304934954752.

The previous prime is 200211001201153. The next prime is 200211001201271. The reversal of 200211001201212 is 212102100112002.

It is an interprime number because it is at equal distance from previous prime (200211001201153) and next prime (200211001201271).

It is a junction number, because it is equal to n+sod(n) for n = 200211001201191 and 200211001201200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72382387 + ... + 75097482.

It is an arithmetic number, because the mean of its divisors is an integer number (5203089813600).

Almost surely, 2200211001201212 is an apocalyptic number.

It is an amenable number.

200211001201212 is an abundant number, since it is smaller than the sum of its proper divisors (299285620904388).

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

200211001201212 is a wasteful number, since it uses less digits than its factorization.

200211001201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147480035 (or 147480033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200211001201212 its reverse (212102100112002), we get a palindrome (412313101313214).

The spelling of 200211001201212 in words is "two hundred trillion, two hundred eleven billion, one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 47 58 83 87 94 116 141 166 174 188 249 282 332 348 498 564 996 1363 2407 2726 3901 4089 4814 5452 7221 7802 8178 9628 11703 14442 15604 16356 23406 28884 46812 113129 226258 339387 452516 678774 1357548 147479869 294959738 442439607 589919476 884879214 1769758428 4276916201 6931553843 8553832402 12240829127 12830748603 13863107686 17107664804 20794661529 24481658254 25661497206 27726215372 36722487381 41589323058 48963316508 51322994412 73444974762 83178646116 146889949524 201015061447 354984044683 402030122894 575318968969 603045184341 709968089366 804060245788 1064952134049 1150637937938 1206090368682 1419936178732 1725956906907 2129904268098 2301275875876 2412180737364 3451913813814 4259808536196 6903827627628 16684250100101 33368500200202 50052750300303 66737000400404 100105500600606 200211001201212