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212144300300 = 225229277264091
BaseRepresentation
bin1100010110010011001…
…0010010000100001100
3202021120200221001122102
43011210302102010030
511433432420102200
6241242512334232
721220063541222
oct3054462220414
9667520831572
10212144300300
1181a73a21819
1235146844378
131700b33849a
14a3a6d42b12
1557b96ea6d5
hex3164c9210c

212144300300 has 72 divisors (see below), whose sum is σ = 477948419760. Its totient is φ = 81635500800.

The previous prime is 212144300273. The next prime is 212144300309. The reversal of 212144300300 is 3003441212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212144300309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671255 + ... + 935345.

Almost surely, 2212144300300 is an apocalyptic number.

212144300300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238974209880).

212144300300 is an abundant number, since it is smaller than the sum of its proper divisors (265804119460).

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

212144300300 is a wasteful number, since it uses less digits than its factorization.

212144300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264411 (or 264404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212144300300 its reverse (3003441212), we get a palindrome (215147741512).

The spelling of 212144300300 in words is "two hundred twelve billion, one hundred forty-four million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 277 290 554 580 725 1108 1385 1450 2770 2900 5540 6925 8033 13850 16066 27700 32132 40165 80330 160660 200825 264091 401650 528182 803300 1056364 1320455 2640910 5281820 6602275 7658639 13204550 15317278 26409100 30634556 38293195 73153207 76586390 146306414 153172780 191465975 292612828 365766035 382931950 731532070 765863900 1463064140 1828830175 2121443003 3657660350 4242886006 7315320700 8485772012 10607215015 21214430030 42428860060 53036075075 106072150150 212144300300