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212200433431344 = 2434167980448517
BaseRepresentation
bin110000001111111011000011…
…011101001011001100110000
31000211100011102001120102220000
4300033323003131023030300
5210303142441424300334
62031151311111350000
762460655362355341
oct6017730335131460
91024304361512800
10212200433431344
1161682775688776
121b971a47982300
139153551a15c87
143a587ad0ac0c8
15197ec484ed299
hexc0fec374b330

212200433431344 has 100 divisors (see below), whose sum is σ = 617847281691024. Its totient is φ = 70309923979392.

The previous prime is 212200433431331. The next prime is 212200433431379. The reversal of 212200433431344 is 443134334002212.

212200433431344 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 0 + 4 + 334 + 313 + 4 + 4 = 666.

212200433431344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212200433431299 and 212200433431308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 490007827 + ... + 490440690.

Almost surely, 2212200433431344 is an apocalyptic number.

212200433431344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212200433431344 is an abundant number, since it is smaller than the sum of its proper divisors (405646848259680).

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

212200433431344 is a wasteful number, since it uses less digits than its factorization.

212200433431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980448704 (or 980448689 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 212200433431344 its reverse (443134334002212), we get a palindrome (655334767433556).

The spelling of 212200433431344 in words is "two hundred twelve trillion, two hundred billion, four hundred thirty-three million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 167 216 324 334 432 501 648 668 1002 1296 1336 1503 2004 2672 3006 4008 4509 6012 8016 9018 12024 13527 18036 24048 27054 36072 54108 72144 108216 216432 980448517 1960897034 2941345551 3921794068 5882691102 7843588136 8824036653 11765382204 15687176272 17648073306 23530764408 26472109959 35296146612 47061528816 52944219918 70592293224 79416329877 105888439836 141184586448 158832659754 163734902339 211776879672 317665319508 327469804678 423553759344 491204707017 635330639016 654939609356 982409414034 1270661278032 1309879218712 1473614121051 1964818828068 2619758437424 2947228242102 3929637656136 4420842363153 5894456484204 7859275312272 8841684726306 11788912968408 13262527089459 17683369452612 23577825936816 26525054178918 35366738905224 53050108357836 70733477810448 106100216715672 212200433431344