Search a number
-
+
200211121000212 = 223729208939343453
BaseRepresentation
bin101101100001011101001000…
…101111110100111100010100
3222020212222220021001002101120
4231201131020233310330110
5202220224333434001322
61545451415205123540
760112530135232620
oct5541351057647424
9866788807032346
10200211121000212
1158880072347613
121a55630b3b95b0
138793a9b5bc94a
1437623acab2180
151822e3da04a5c
hexb61748bf4f14

200211121000212 has 96 divisors (see below), whose sum is σ = 552570942739200. Its totient is φ = 55204213865472.

The previous prime is 200211121000207. The next prime is 200211121000213. The reversal of 200211121000212 is 212000121112002.

It is a junction number, because it is equal to n+sod(n) for n = 200211121000191 and 200211121000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211121000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14582923 + ... + 24760530.

It is an arithmetic number, because the mean of its divisors is an integer number (5755947320200).

Almost surely, 2200211121000212 is an apocalyptic number.

It is an amenable number.

200211121000212 is an abundant number, since it is smaller than the sum of its proper divisors (352359821738988).

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

200211121000212 is a wasteful number, since it uses less digits than its factorization.

200211121000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39345585 (or 39345583 counting only the distinct ones).

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

Adding to 200211121000212 its reverse (212000121112002), we get a palindrome (412211242112214).

The spelling of 200211121000212 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2089 2436 4178 6267 8356 12534 14623 25068 29246 43869 58492 60581 87738 121162 175476 181743 242324 363486 424067 726972 848134 1272201 1696268 2544402 5088804 39343453 78686906 118030359 157373812 236060718 275404171 472121436 550808342 826212513 1101616684 1140960137 1652425026 2281920274 3304850052 3422880411 4563840548 6845760822 7986720959 13691521644 15973441918 23960162877 31946883836 47920325754 82188473317 95840651508 164376946634 246565419951 328753893268 493130839902 575319313219 986261679804 1150638626438 1725957939657 2301277252876 2383465726193 3451915879314 4766931452386 6903831758628 7150397178579 9533862904772 14300794357158 16684260083351 28601588714316 33368520166702 50052780250053 66737040333404 100105560500106 200211121000212