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212143332322400 = 2552296989315987
BaseRepresentation
bin110000001111000101110111…
…111101101110110001100000
31000211010201000120202120002012
4300033011313331232301200
5210301224021033304100
62031105145040412052
762453564353062143
oct6017056775566140
91024121016676065
10212143332322400
1161660533592446
121b962970917028
13914b051a2bb4b
143a55b1362205a
15197d50551b135
hexc0f177f6ec60

212143332322400 has 72 divisors (see below), whose sum is σ = 518069349955080. Its totient is φ = 84828750863360.

The previous prime is 212143332322381. The next prime is 212143332322421. The reversal of 212143332322400 is 4223233341212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42282794 + ... + 47033193.

It is an arithmetic number, because the mean of its divisors is an integer number (7195407638265).

Almost surely, 2212143332322400 is an apocalyptic number.

212143332322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212143332322400 is an abundant number, since it is smaller than the sum of its proper divisors (305926017632680).

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

212143332322400 is a wasteful number, since it uses less digits than its factorization.

212143332322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89318976 (or 89318963 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 212143332322400 its reverse (4223233341212), we get a palindrome (216366565663612).

The spelling of 212143332322400 in words is "two hundred twelve trillion, one hundred forty-three billion, three hundred thirty-two million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2969 5938 11876 14845 23752 29690 47504 59380 74225 95008 118760 148450 237520 296900 475040 593800 1187600 2375200 89315987 178631974 357263948 446579935 714527896 893159870 1429055792 1786319740 2232899675 2858111584 3572639480 4465799350 7145278960 8931598700 14290557920 17863197400 35726394800 71452789600 265179165403 530358330806 1060716661612 1325895827015 2121433323224 2651791654030 4242866646448 5303583308060 6629479135075 8485733292896 10607166616120 13258958270150 21214333232240 26517916540300 42428666464480 53035833080600 106071666161200 212143332322400