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100122210200200 = 2352618206738541
BaseRepresentation
bin10110110000111110000100…
…110001011110101010001000
3111010111120220222100221110211
4112300332010301132222020
5101110400241302401300
6552535301451250504
730042406463536066
oct2660760461365210
9433446828327424
10100122210200200
11299a1655528431
12b290431749a34
1343b363a1c3686
141aa1d258cd036
15b8961d8094ba
hex5b0f84c5ea88

100122210200200 has 48 divisors (see below), whose sum is σ = 236600272165860. Its totient is φ = 39392344992000.

The previous prime is 100122210200119. The next prime is 100122210200237. The reversal of 100122210200200 is 2002012221001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10263527098276 + 89858683101924 = 3203674^2 + 9479382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4103357071 + ... + 4103381470.

Almost surely, 2100122210200200 is an apocalyptic number.

100122210200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122210200200 is an abundant number, since it is smaller than the sum of its proper divisors (136478061965660).

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

100122210200200 is a wasteful number, since it uses less digits than its factorization.

100122210200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206738618 (or 8206738609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100122210200200 its reverse (2002012221001), we get a palindrome (102124222421201).

The spelling of 100122210200200 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 8206738541 16413477082 32826954164 41033692705 65653908328 82067385410 164134770820 205168463525 328269541640 410336927050 500611051001 820673854100 1001222102002 1641347708200 2002444204004 2503055255005 4004888408008 5006110510010 10012221020020 12515276275025 20024442040040 25030552550050 50061105100100 100122210200200