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1020100010212 = 225313735122573
BaseRepresentation
bin11101101100000101011…
…00101110000011100100
310121112001112010201221201
432312002230232003210
5113203131100311322
62100343311252244
7133462013006623
oct16660254560344
93545045121851
101020100010212
11363692953088
1214585151a084
137526c5bb7ca
1437531b236ba
151b806189d27
hexed82b2e0e4

1020100010212 has 24 divisors (see below), whose sum is σ = 1832133950136. Its totient is φ = 496773658368.

The previous prime is 1020100010191. The next prime is 1020100010219. The reversal of 1020100010212 is 2120100010201.

It can be written as a sum of positive squares in 4 ways, for example, as 125134817536 + 894965192676 = 353744^2 + 946026^2 .

It is not an unprimeable number, because it can be changed into a prime (1020100010219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17532243 + ... + 17590330.

It is an arithmetic number, because the mean of its divisors is an integer number (76338914589).

Almost surely, 21020100010212 is an apocalyptic number.

It is an amenable number.

1020100010212 is a deficient number, since it is larger than the sum of its proper divisors (812033939924).

1020100010212 is a wasteful number, since it uses less digits than its factorization.

1020100010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35122767 (or 35122765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020100010212 its reverse (2120100010201), we get a palindrome (3140200020413).

The spelling of 1020100010212 in words is "one trillion, twenty billion, one hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 4 53 106 137 212 274 548 7261 14522 29044 35122573 70245146 140490292 1861496369 3722992738 4811792501 7445985476 9623585002 19247170004 255025002553 510050005106 1020100010212