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211121122002 = 23747470322741
BaseRepresentation
bin1100010010011111001…
…1001010101011010010
3202011221101122012212220
43010213303022223102
511424334001401002
6240553202201510
721152530633140
oct3044763125322
9664841565786
10211121122002
118159940781a
1234b00053296
1316ba737433b
14a30b0c0590
15575998b7bc
hex3127ccaad2

211121122002 has 64 divisors (see below), whose sum is σ = 492956319744. Its totient is φ = 59021760960.

The previous prime is 211121121989. The next prime is 211121122007. The reversal of 211121122002 is 200221121112.

211121122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211121122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9272352 + ... + 9295092.

It is an arithmetic number, because the mean of its divisors is an integer number (7702442496).

Almost surely, 2211121122002 is an apocalyptic number.

211121122002 is an abundant number, since it is smaller than the sum of its proper divisors (281835197742).

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

211121122002 is a wasteful number, since it uses less digits than its factorization.

211121122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27503.

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

Adding to 211121122002 its reverse (200221121112), we get a palindrome (411342243114).

The spelling of 211121122002 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 4703 9406 14109 22741 28218 32921 45482 65842 68223 98763 136446 159187 197526 221041 318374 442082 477561 663123 955122 1068827 1326246 1547287 2137654 3094574 3206481 4641861 6412962 7481789 9283722 14963578 22445367 44890734 106950923 213901846 320852769 641705538 748656461 1497312922 2245969383 4491938766 5026693381 10053386762 15080080143 30160160286 35186853667 70373707334 105560561001 211121122002