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212311320023200 = 25522916754798503
BaseRepresentation
bin110000010001100010010100…
…110011111101000010100000
31000211201202121221020221122111
4300101202110303331002200
5210312002040411220300
62031314250212045104
762501662301011606
oct6021422463750240
91024652557227574
10212311320023200
11617157a8232422
121b98b433603794
139160b43ac3638
143a5dccbd1b876
151982a883749ba
hexc11894cfd0a0

212311320023200 has 144 divisors (see below), whose sum is σ = 539388250692480. Its totient is φ = 81505099934720.

The previous prime is 212311320023147. The next prime is 212311320023249. The reversal of 212311320023200 is 2320023113212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23524852 + ... + 31273651.

It is an arithmetic number, because the mean of its divisors is an integer number (3745751740920).

Almost surely, 2212311320023200 is an apocalyptic number.

212311320023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311320023200 is an abundant number, since it is smaller than the sum of its proper divisors (327076930669280).

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

212311320023200 is a wasteful number, since it uses less digits than its factorization.

212311320023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54798719 (or 54798706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212311320023200 its reverse (2320023113212), we get a palindrome (214631343136412).

The spelling of 212311320023200 in words is "two hundred twelve trillion, three hundred eleven billion, three hundred twenty million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 167 200 232 290 334 400 464 580 668 725 800 835 928 1160 1336 1450 1670 2320 2672 2900 3340 4175 4640 4843 5344 5800 6680 8350 9686 11600 13360 16700 19372 23200 24215 26720 33400 38744 48430 66800 77488 96860 121075 133600 154976 193720 242150 387440 484300 774880 968600 1937200 3874400 54798503 109597006 219194012 273992515 438388024 547985030 876776048 1095970060 1369962575 1589156587 1753552096 2191940120 2739925150 3178313174 4383880240 5479850300 6356626348 7945782935 8767760480 9151350001 10959700600 12713252696 15891565870 18302700002 21919401200 25426505392 31783131740 36605400004 39728914675 43838802400 45756750005 50853010784 63566263480 73210800008 79457829350 91513500010 127132526960 146421600016 158915658700 183027000020 228783750025 254265053920 265389150029 292843200032 317831317400 366054000040 457567500050 530778300058 635662634800 732108000080 915135000100 1061556600116 1271325269600 1326945750145 1464216000160 1830270000200 2123113200232 2653891500290 3660540000400 4246226400464 5307783000580 6634728750725 7321080000800 8492452800928 10615566001160 13269457501450 21231132002320 26538915002900 42462264004640 53077830005800 106155660011600 212311320023200