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2102222222012 = 2211241432719091
BaseRepresentation
bin11110100101110110001…
…101010111001010111100
321102222012110222202201202
4132211312031113022330
5233420322342101022
64245425245555032
7304611012024653
oct36456615271274
97388173882652
102102222222012
11740602704200
1229b511b75a78
13123314586083
1473a68ad419a
1539a3c373592
hex1e9763572bc

2102222222012 has 144 divisors (see below), whose sum is σ = 4254808115712. Its totient is φ = 907109280000.

The previous prime is 2102222222011. The next prime is 2102222222029.

2102222222012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102222222011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231237587 + ... + 231246677.

Almost surely, 22102222222012 is an apocalyptic number.

2102222222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102222222012 is an abundant number, since it is smaller than the sum of its proper divisors (2152585893700).

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

2102222222012 is a wasteful number, since it uses less digits than its factorization.

2102222222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

It can be divided in two parts, 210 and 2222222012, that added together give a palindrome (2222222222).

The spelling of 2102222222012 in words is "two trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 22 41 43 44 82 86 121 164 172 242 271 451 473 484 542 902 946 1084 1763 1804 1892 2981 3526 4961 5203 5962 7052 9091 9922 10406 11111 11653 11924 18182 19393 19844 20812 22222 23306 32791 36364 38786 44444 46612 65582 77572 100001 122221 128183 131164 200002 213323 244442 256366 372731 390913 400004 426646 477773 488884 512732 745462 781826 853292 955546 1100011 1344431 1410013 1490924 1563652 1911092 2200022 2463661 2688862 2820026 4100041 4300043 4400044 4927322 5255503 5377724 5640052 8200082 8600086 9854644 10511006 16027433 16400164 17200172 21022012 27100271 32054866 45100451 47300473 54200542 57810533 64109732 90200902 94600946 101010101 105937423 108401084 115621066 176301763 180401804 189201892 202020202 211874846 231242132 298102981 352603526 404040404 423749692 596205962 705207052 1111111111 1165311653 1192411924 1939319393 2222222222 2330623306 3878638786 4343434343 4444444444 4661246612 7757277572 8686868686 12222222221 12818428183 17373737372 24444444442 25636856366 47777777773 48888888884 51273712732 95555555546 191111111092 525555555503 1051111111006 2102222222012