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212103132213120 = 2735110470381361
BaseRepresentation
bin110000001110100000011011…
…110110011110111110000000
31000210222212020222011102020220
4300032200123312132332000
5210300044203321304440
62031034500032503040
762450642225560311
oct6016403366367600
91023885228142226
10212103132213120
1161645484687335
121b9570119aaa80
139147316384635
143a53bbc644608
15197c4511a78d0
hexc0e81bd9ef80

212103132213120 has 64 divisors (see below), whose sum is σ = 676078733935440. Its totient is φ = 56560835256320.

The previous prime is 212103132213067. The next prime is 212103132213127. The reversal of 212103132213120 is 21312231301212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212103132213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55235188761 + ... + 55235192600.

Almost surely, 2212103132213120 is an apocalyptic number.

212103132213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212103132213120 is an abundant number, since it is smaller than the sum of its proper divisors (463975601722320).

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

212103132213120 is a wasteful number, since it uses less digits than its factorization.

212103132213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110470381383 (or 110470381371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212103132213120 its reverse (21312231301212), we get a palindrome (233415363514332).

The spelling of 212103132213120 in words is "two hundred twelve trillion, one hundred three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 110470381361 220940762722 331411144083 441881525444 552351906805 662822288166 883763050888 1104703813610 1325644576332 1657055720415 1767526101776 2209407627220 2651289152664 3314111440830 3535052203552 4418815254440 5302578305328 6628222881660 7070104407104 8837630508880 10605156610656 13256445763320 14140208814208 17675261017760 21210313221312 26512891526640 35350522035520 42420626442624 53025783053280 70701044071040 106051566106560 212103132213120