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101212002210012 = 22397181480397193
BaseRepresentation
bin10111000000110101000001…
…011100000101000011011100
3111021100202212110022002011220
4113000311001130011003130
5101231224140031210022
6555132052452213340
730214216524015231
oct2700650134050334
9437322773262156
10101212002210012
112a2818507242a1
12b42769290a250
13446233518a365
141adc989371788
15ba7b5301585c
hex5c0d417050dc

101212002210012 has 48 divisors (see below), whose sum is σ = 239914201861152. Its totient is φ = 33205053911040.

The previous prime is 101212002210001. The next prime is 101212002210073. The reversal of 101212002210012 is 210012200212101.

101212002210012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101212002209973 and 101212002210000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 239987913 + ... + 240409280.

It is an arithmetic number, because the mean of its divisors is an integer number (4998212538774).

Almost surely, 2101212002210012 is an apocalyptic number.

101212002210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212002210012 is an abundant number, since it is smaller than the sum of its proper divisors (138702199651140).

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

101212002210012 is a wasteful number, since it uses less digits than its factorization.

101212002210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480397478 (or 480397476 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212002210012 its reverse (210012200212101), we get a palindrome (311224202422113).

The spelling of 101212002210012 in words is "one hundred one trillion, two hundred twelve billion, two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 97 181 194 291 362 388 543 582 724 1086 1164 2172 17557 35114 52671 70228 105342 210684 480397193 960794386 1441191579 1921588772 2882383158 5764766316 46598527721 86951891933 93197055442 139795583163 173903783866 186394110884 260855675799 279591166326 347807567732 521711351598 559182332652 1043422703196 8434333517501 16868667035002 25303000552503 33737334070004 50606001105006 101212002210012