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1000012200100 = 225212378084173
BaseRepresentation
bin11101000110101010101…
…11110011100010100100
310112121012120101020212121
432203111113303202210
5112341011110400400
62043222123555324
7132151143310564
oct16432527634244
93477176336777
101000012200100
113561148a9021
1214198608bb44
13733ba97a934
1436587d00da4
151b02c87621a
hexe8d55f38a4

1000012200100 has 36 divisors (see below), whose sum is σ = 2171781008404. Its totient is φ = 399681463680.

The previous prime is 1000012200097. The next prime is 1000012200113. The reversal of 1000012200100 is 10022100001.

It can be written as a sum of positive squares in 6 ways, for example, as 101262695524 + 898749504576 = 318218^2 + 948024^2 .

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, 3918387 + ... + 4165786.

Almost surely, 21000012200100 is an apocalyptic number.

1000012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012200100 is an abundant number, since it is smaller than the sum of its proper divisors (1171768808304).

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

1000012200100 is a wasteful number, since it uses less digits than its factorization.

1000012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085424 (or 8085417 counting only the distinct ones).

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

Adding to 1000012200100 its reverse (10022100001), we get a palindrome (1010034300101).

The spelling of 1000012200100 in words is "one trillion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1237 2474 4948 6185 12370 24740 30925 61850 123700 8084173 16168346 32336692 40420865 80841730 161683460 202104325 404208650 808417300 10000122001 20000244002 40000488004 50000610005 100001220010 200002440020 250003050025 500006100050 1000012200100