Search a number
-
+
2122201220211 = 334173312892029
BaseRepresentation
bin11110111000011101000…
…011001100010001110011
321111212202212000000221000
4132320131003030101303
5234232232003021321
64302531545133043
7306216060511062
oct36703503142163
97455685000830
102122201220211
11749025299266
122a3368a8a183
131251797b95b7
1474a022b01d9
153a30b341826
hex1ee1d0cc473

2122201220211 has 64 divisors (see below), whose sum is σ = 3229171344000. Its totient is φ = 1376662210560.

The previous prime is 2122201220179. The next prime is 2122201220231. The reversal of 2122201220211 is 1120221022212.

It is a happy number.

2122201220211 is a `hidden beast` number, since 2 + 12 + 220 + 1 + 220 + 211 = 666.

It is not a de Polignac number, because 2122201220211 - 25 = 2122201220179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122201220231) 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, 1045933545 + ... + 1045935573.

It is an arithmetic number, because the mean of its divisors is an integer number (50455802250).

Almost surely, 22122201220211 is an apocalyptic number.

2122201220211 is a deficient number, since it is larger than the sum of its proper divisors (1106970123789).

2122201220211 is a wasteful number, since it uses less digits than its factorization.

2122201220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4095 counting only the distinct ones).

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

Adding to 2122201220211 its reverse (1120221022212), we get a palindrome (3242422242423).

The spelling of 2122201220211 in words is "two trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 27 41 123 369 733 1107 1289 2029 2199 3867 6087 6597 11601 18261 19791 30053 34803 52849 54783 83189 90159 158547 249567 270477 475641 748701 811431 944837 1426923 1487257 2246103 2615381 2834511 4461771 7846143 8503533 13385313 23538429 25510599 38738317 40155939 60977537 70615287 107230621 116214951 182932611 321691863 348644853 548797833 965075589 1045934559 1646393499 1917074273 2895226767 5751222819 17253668457 51761005371 78600045193 235800135579 707400406737 2122201220211