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212012020320 = 25352657166237
BaseRepresentation
bin1100010101110011100…
…1101011001001100000
3202021020111000112121220
43011130321223021200
511433200034122240
6241221425215040
721213566303262
oct3053471531140
9667214015556
10212012020320
1181a06292921
123510a491480
1316cb9b01cc9
14a39354bb32
1557accbb5d0
hex315ce6b260

212012020320 has 96 divisors (see below), whose sum is σ = 668093233248. Its totient is φ = 56514920448.

The previous prime is 212012020313. The next prime is 212012020373. The reversal of 212012020320 is 23020210212.

It is a happy number.

212012020320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012020320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192242 + ... + 1358478.

It is an arithmetic number, because the mean of its divisors is an integer number (6959304513).

Almost surely, 2212012020320 is an apocalyptic number.

212012020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012020320 is an abundant number, since it is smaller than the sum of its proper divisors (456081212928).

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

212012020320 is a wasteful number, since it uses less digits than its factorization.

212012020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168912 (or 168904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212012020320 its reverse (23020210212), we get a palindrome (235032230532).

The spelling of 212012020320 in words is "two hundred twelve billion, twelve million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2657 5314 7971 10628 13285 15942 21256 26570 31884 39855 42512 53140 63768 79710 85024 106280 127536 159420 166237 212560 255072 318840 332474 425120 498711 637680 664948 831185 997422 1275360 1329896 1662370 1994844 2493555 2659792 3324740 3989688 4987110 5319584 6649480 7979376 9974220 13298960 15958752 19948440 26597920 39896880 79793760 441691709 883383418 1325075127 1766766836 2208458545 2650150254 3533533672 4416917090 5300300508 6625375635 7067067344 8833834180 10600601016 13250751270 14134134688 17667668360 21201202032 26501502540 35335336720 42402404064 53003005080 70670673440 106006010160 212012020320