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212203131232200 = 23352363797242751
BaseRepresentation
bin110000001111111101100100…
…010000011101111111001000
31000211100102101001221220221020
4300033331210100131333020
5210303214003043412300
62031152434522512440
762461112261322063
oct6017754420357710
91024312331856836
10212203131232200
116168392a502459
121b97247b365720
13915389190c744
143a589874cb8da
15197ed5529b8a0
hexc0ff6441dfc8

212203131232200 has 96 divisors (see below), whose sum is σ = 658010585103360. Its totient is φ = 56571942240000.

The previous prime is 212203131232199. The next prime is 212203131232217. The reversal of 212203131232200 is 2232131302212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46439176 + ... + 50803575.

It is an arithmetic number, because the mean of its divisors is an integer number (6854276928160).

Almost surely, 2212203131232200 is an apocalyptic number.

212203131232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212203131232200 is an abundant number, since it is smaller than the sum of its proper divisors (445807453871160).

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

212203131232200 is a wasteful number, since it uses less digits than its factorization.

212203131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97246407 (or 97246398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212203131232200 its reverse (2232131302212), we get a palindrome (214435262534412).

The spelling of 212203131232200 in words is "two hundred twelve trillion, two hundred three billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3637 7274 10911 14548 18185 21822 29096 36370 43644 54555 72740 87288 90925 109110 145480 181850 218220 272775 363700 436440 545550 727400 1091100 2182200 97242751 194485502 291728253 388971004 486213755 583456506 777942008 972427510 1166913012 1458641265 1944855020 2333826024 2431068775 2917282530 3889710040 4862137550 5834565060 7293206325 9724275100 11669130120 14586412650 19448550200 29172825300 58345650600 353671885387 707343770774 1061015656161 1414687541548 1768359426935 2122031312322 2829375083096 3536718853870 4244062624644 5305078280805 7073437707740 8488125249288 8841797134675 10610156561610 14146875415480 17683594269350 21220313123220 26525391404025 35367188538700 42440626246440 53050782808050 70734377077400 106101565616100 212203131232200