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212302010010100 = 22523109682862689
BaseRepresentation
bin110000010001011001101001…
…111001000100100111110100
31000211200212121002211021121111
4300101121221321010213310
5210311324004030310400
62031310110314124404
762501212502135353
oct6021315171044764
91024625532737544
10212302010010100
116171185aa4881a
121b989675720704
13915ccbc04aa4a
143a5d68768799a
1519826e0d5c3ba
hexc11669e449f4

212302010010100 has 36 divisors (see below), whose sum is σ = 460843543600300. Its totient is φ = 84893489372160.

The previous prime is 212302010010023. The next prime is 212302010010107. The reversal of 212302010010100 is 1010010203212.

It can be written as a sum of positive squares in 6 ways, for example, as 40155591880336 + 172146418129764 = 6336844^2 + 13120458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302010010107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341120445 + ... + 341742244.

Almost surely, 2212302010010100 is an apocalyptic number.

212302010010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302010010100 is an abundant number, since it is smaller than the sum of its proper divisors (248541533590200).

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

212302010010100 is a wasteful number, since it uses less digits than its factorization.

212302010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682865812 (or 682865805 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212302010010100 its reverse (1010010203212), we get a palindrome (213312020213312).

The spelling of 212302010010100 in words is "two hundred twelve trillion, three hundred two billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3109 6218 12436 15545 31090 62180 77725 155450 310900 682862689 1365725378 2731450756 3414313445 6828626890 13657253780 17071567225 34143134450 68286268900 2123020100101 4246040200202 8492080400404 10615100500505 21230201001010 42460402002020 53075502502525 106151005005050 212302010010100