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1122214122211 = 713192391930707
BaseRepresentation
bin10000010101001001001…
…011001001001011100011
310222021122000212002122211
4100111021023021023203
5121341243303402321
62215312115142551
7144035340436150
oct20251113111343
93867560762584
101122214122211
113a2a23685886
121615ab2a4a57
1381a940ba4a0
143c45b865227
151e2d0cc80e1
hex105492c92e3

1122214122211 has 64 divisors (see below), whose sum is σ = 1518793113600. Its totient is φ = 803699335296.

The previous prime is 1122214122209. The next prime is 1122214122221.

1122214122211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1122214122211 - 21 = 1122214122209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122214122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36530520 + ... + 36561226.

It is an arithmetic number, because the mean of its divisors is an integer number (23731142400).

Almost surely, 21122214122211 is an apocalyptic number.

1122214122211 is a deficient number, since it is larger than the sum of its proper divisors (396578991389).

1122214122211 is a wasteful number, since it uses less digits than its factorization.

1122214122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31688.

The product of its digits is 256, while the sum is 22.

The spelling of 1122214122211 in words is "one trillion, one hundred twenty-two billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 13 19 23 91 133 161 247 299 437 919 1729 2093 3059 5681 6433 11947 17461 21137 30707 39767 83629 122227 147959 214949 226993 274781 399191 401603 583433 706261 1588951 1923467 2794337 2811221 4084031 4943827 5220839 7584629 9181393 13418959 28219733 36545873 53092403 64269751 93932713 174446467 197538131 366856529 536174927 649053859 1221125269 2567995703 3753224489 4543377013 6970274051 8437700167 12332023321 48791918357 59063901169 86324163247 160316303173 1122214122211