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10102211001112 = 2319218311910429
BaseRepresentation
bin1001001100000001101010…
…1100101011101100011000
31022202202120110021002102011
42103000122230223230120
52311003312004013422
633252520333315304
72061601130461216
oct223003254535430
938682513232364
1010102211001112
113245361822a6a
121171a62035b34
13583832a4ba39
1426cd41a91cb6
15127bad31e077
hex9301ab2bb18

10102211001112 has 48 divisors (see below), whose sum is σ = 20001972848400. Its totient is φ = 4782641872320.

The previous prime is 10102211001101. The next prime is 10102211001119. The reversal of 10102211001112 is 21110011220101.

It is a happy number.

It is a super-3 number, since 3×101022110011123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10102211001092 and 10102211001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211001119) 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 11 ways as a sum of consecutive naturals, for example, 4332714 + ... + 6243142.

It is an arithmetic number, because the mean of its divisors is an integer number (416707767675).

Almost surely, 210102211001112 is an apocalyptic number.

It is an amenable number.

10102211001112 is a deficient number, since it is larger than the sum of its proper divisors (9899761847288).

10102211001112 is a wasteful number, since it uses less digits than its factorization.

10102211001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912304 (or 1912281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102211001112 its reverse (21110011220101), we get a palindrome (31212222221213).

The spelling of 10102211001112 in words is "ten trillion, one hundred two billion, two hundred eleven million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 76 152 361 722 1444 1831 2888 3662 7324 14648 34789 69578 139156 278312 660991 1321982 1910429 2643964 3820858 5287928 7641716 15283432 36298151 72596302 145192604 290385208 689664869 1379329738 2758659476 3497995499 5517318952 6995990998 13991981996 27983963992 66461914481 132923828962 265847657924 531695315848 1262776375139 2525552750278 5051105500556 10102211001112