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12200010000100 = 2252139949943273
BaseRepresentation
bin1011000110001000100101…
…0000110010011011100100
31121012022100200011211211221
42301202021100302123210
53044341110030000400
641540335054310124
72366264422656226
oct261421120623344
947168320154757
1012200010000100
113983aa465624a
12145053a7b8344
136a65c0b00680
143026ab144416
1516253c1bcc1a
hexb18894326e4

12200010000100 has 72 divisors (see below), whose sum is σ = 28513380799400. Its totient is φ = 4504161530880.

The previous prime is 12200010000089. The next prime is 12200010000127. The reversal of 12200010000100 is 100001000221.

It can be written as a sum of positive squares in 12 ways, for example, as 9079084975104 + 3120925024996 = 3013152^2 + 1766614^2 .

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, 12462064 + ... + 13405336.

Almost surely, 212200010000100 is an apocalyptic number.

12200010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200010000100 is an abundant number, since it is smaller than the sum of its proper divisors (16313370799300).

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

12200010000100 is a wasteful number, since it uses less digits than its factorization.

12200010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953249 (or 953242 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12200010000100 its reverse (100001000221), we get a palindrome (12300011000321).

The spelling of 12200010000100 in words is "twelve trillion, two hundred billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9949 19898 39796 49745 99490 129337 198980 248725 258674 497450 517348 646685 943273 994900 1293370 1886546 2586740 3233425 3773092 4716365 6466850 9432730 12262549 12933700 18865460 23581825 24525098 47163650 49050196 61312745 94327300 122625490 245250980 306563725 613127450 1226254900 9384623077 18769246154 37538492308 46923115385 93846230770 122000100001 187692461540 234615576925 244000200002 469231153850 488000400004 610000500005 938462307700 1220001000010 2440002000020 3050002500025 6100005000050 12200010000100