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1000010200212 = 223227778061117
BaseRepresentation
bin11101000110101010100…
…00001011010010010100
310112121012102121122112200
432203111100023102110
5112341010102401322
62043222013044500
7132151120311162
oct16432520132224
93477172548480
101000010200212
11356113762521
12141985486730
13733ba42a57a
1436587940232
151b02c5cd8ac
hexe8d540b494

1000010200212 has 18 divisors (see below), whose sum is σ = 2527803561738. Its totient is φ = 333336733392.

The previous prime is 1000010200171. The next prime is 1000010200213. The reversal of 1000010200212 is 2120020100001.

It can be written as a sum of positive squares in only one way, i.e., 655915332996 + 344094867216 = 809886^2 + 586596^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000010200194 and 1000010200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13889030523 + ... + 13889030594.

Almost surely, 21000010200212 is an apocalyptic number.

1000010200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000010200212 is an abundant number, since it is smaller than the sum of its proper divisors (1527793361526).

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

1000010200212 is a wasteful number, since it uses less digits than its factorization.

1000010200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27778061127 (or 27778061122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000010200212 its reverse (2120020100001), we get a palindrome (3120030300213).

The spelling of 1000010200212 in words is "one trillion, ten million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27778061117 55556122234 83334183351 111112244468 166668366702 250002550053 333336733404 500005100106 1000010200212