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2010122022111 = 3723181199227509
BaseRepresentation
bin11101010000000100100…
…110111110110011011111
321010011110212012211221220
4131100010212332303133
5230413212214201421
64135234243024423
7265140461162430
oct35200446766337
97104425184856
102010122022111
11705540528915
122856a996b113
13117727605c78
146d40ccd7487
153744b9403c6
hex1d4049becdf

2010122022111 has 128 divisors (see below), whose sum is σ = 3250630656000. Its totient is φ = 1080223879680.

The previous prime is 2010122022109. The next prime is 2010122022131. The reversal of 2010122022111 is 1112202210102.

It is not a de Polignac number, because 2010122022111 - 21 = 2010122022109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010122022101) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3949158925 + ... + 3949159433.

It is an arithmetic number, because the mean of its divisors is an integer number (25395552000).

Almost surely, 22010122022111 is an apocalyptic number.

2010122022111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2010122022111 is a deficient number, since it is larger than the sum of its proper divisors (1240508633889).

2010122022111 is a wasteful number, since it uses less digits than its factorization.

2010122022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149.

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

Adding to 2010122022111 its reverse (1112202210102), we get a palindrome (3122324232213).

The spelling of 2010122022111 in words is "two trillion, ten billion, one hundred twenty-two million, twenty-two thousand, one hundred eleven".

Divisors: 1 3 7 21 23 69 161 181 199 227 483 509 543 597 681 1267 1393 1527 1589 3563 3801 4163 4179 4577 4767 5221 10689 11707 12489 13731 15663 29141 32039 35121 36019 36547 41087 45173 81949 87423 92129 96117 101291 108057 109641 115543 123261 135519 245847 252133 276387 287609 303873 316211 346629 644903 709037 756399 808801 828437 862827 945001 948633 1038979 1934709 2118967 2127111 2329693 2426403 2485311 2657489 2835003 3116937 5799059 6356901 6615007 6989079 7272853 7972467 8176313 14832769 16307851 17397177 18333671 18602423 19845021 20913283 21818559 22993057 24528939 44498307 48923553 55001013 55807269 57234191 62739849 68979171 128335697 146392981 160951399 171702573 188055199 385007091 421674433 439178943 481005509 482854197 528840311 564165597 1265023299 1316386393 1443016527 1586520933 2951721031 3367038563 3701882177 3949159179 4161743317 8855163093 10101115689 11105646531 12485229951 29132203219 87396609657 95720096291 287160288873 670040674037 2010122022111