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212101323344240 = 245111600115063073
BaseRepresentation
bin110000001110011110110000…
…000010001100100101110000
31000210222200120220110100122012
4300032132300002030211300
5210300032002234003430
62031034000334302052
762450546342464151
oct6016366002144560
91023880526410565
10212101323344240
1161644736615380
121b9567a8057928
1391470b86aa815
143a53a8a2dd928
15197c39749b695
hexc0e7b008c970

212101323344240 has 80 divisors (see below), whose sum is σ = 537999740250336. Its totient is φ = 77122928640000.

The previous prime is 212101323344237. The next prime is 212101323344297. The reversal of 212101323344240 is 42443323101212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 212101323344197 and 212101323344206.

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, 6549344 + ... + 21612416.

Almost surely, 2212101323344240 is an apocalyptic number.

212101323344240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101323344240 is an abundant number, since it is smaller than the sum of its proper divisors (325898416906096).

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

212101323344240 is a wasteful number, since it uses less digits than its factorization.

212101323344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15079098 (or 15079092 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 212101323344240 its reverse (42443323101212), we get a palindrome (254544646445452).

The spelling of 212101323344240 in words is "two hundred twelve trillion, one hundred one billion, three hundred twenty-three million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 16001 32002 64004 80005 128008 160010 176011 256016 320020 352022 640040 704044 880055 1280080 1408088 1760110 2816176 3520220 7040440 14080880 15063073 30126146 60252292 75315365 120504584 150630730 165693803 241009168 301261460 331387606 602522920 662775212 828469015 1205045840 1325550424 1656938030 2651100848 3313876060 6627752120 13255504240 241024231073 482048462146 964096924292 1205121155365 1928193848584 2410242310730 2651266541803 3856387697168 4820484621460 5302533083606 9640969242920 10605066167212 13256332709015 19281938485840 21210132334424 26512665418030 42420264668848 53025330836060 106050661672120 212101323344240