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131222104010010 = 232513112155644453
BaseRepresentation
bin11101110101100010000110…
…111001010110110100011010
3122012121201012001022110010200
4131311202012321112310122
5114144420332111310020
61143030334040123030
736432325031326416
oct3565420671266432
9565551161273120
10131222104010010
11388a1a88840192
1212873881166476
13582b26440a950
1424592801bdd46
1510285c4aaa590
hex775886e56d1a

131222104010010 has 48 divisors (see below), whose sum is σ = 367421891231304. Its totient is φ = 32300825602176.

The previous prime is 131222104009993. The next prime is 131222104010047. The reversal of 131222104010010 is 10010401222131.

131222104010010 is a `hidden beast` number, since 1 + 31 + 2 + 221 + 0 + 401 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79281269424009 + 51940834586001 = 8904003^2 + 7206999^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56077821057 + ... + 56077823396.

Almost surely, 2131222104010010 is an apocalyptic number.

131222104010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131222104010010 is an abundant number, since it is smaller than the sum of its proper divisors (236199787221294).

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

131222104010010 is a wasteful number, since it uses less digits than its factorization.

131222104010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112155644479 (or 112155644476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131222104010010 its reverse (10010401222131), we get a palindrome (141232505232141).

The spelling of 131222104010010 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, one hundred four million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 112155644453 224311288906 336466933359 560778222265 672933866718 1009400800077 1121556444530 1458023377889 1682334666795 2018801600154 2916046755778 3364669333590 4374070133667 5047004000385 7290116889445 8748140267334 10094008000770 13122210401001 14580233778890 21870350668335 26244420802002 43740701336670 65611052005005 131222104010010