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211320103211232 = 25319335411345413
BaseRepresentation
bin110000000011000111001011…
…101011111001000011100000
31000201020000010022221201001220
4300003013023223321003200
5210144232032410224412
62025235040515455040
762340242104066011
oct6003071353710340
91021200108851056
10211320103211232
1161373397182714
121b84b302bb7480
1390bb5283b57a2
143a27d3a1ad008
151966dc2c5e68c
hexc031cbaf90e0

211320103211232 has 96 divisors (see below), whose sum is σ = 583914242862720. Its totient is φ = 66732272017920.

The previous prime is 211320103211201. The next prime is 211320103211249. The reversal of 211320103211232 is 232112301023112.

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 (24).

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, 611616958 + ... + 611962370.

It is an arithmetic number, because the mean of its divisors is an integer number (6082440029820).

Almost surely, 2211320103211232 is an apocalyptic number.

It is an amenable number.

211320103211232 is an abundant number, since it is smaller than the sum of its proper divisors (372594139651488).

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

211320103211232 is a wasteful number, since it uses less digits than its factorization.

211320103211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680856 (or 680848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211320103211232 its reverse (232112301023112), we get a palindrome (443432404234344).

The spelling of 211320103211232 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 335411 345413 670822 690826 1006233 1036239 1341644 1381652 2012466 2072478 2683288 2763304 4024932 4144956 5366576 5526608 6372809 6562847 8049864 8289912 10733152 11053216 12745618 13125694 16099728 16579824 19118427 19688541 25491236 26251388 32199456 33159648 38236854 39377082 50982472 52502776 76473708 78754164 101964944 105005552 152947416 157508328 203929888 210011104 305894832 315016656 611789664 630033312 115855319743 231710639486 347565959229 463421278972 695131918458 926842557944 1390263836916 1853685115888 2201251075117 2780527673832 3707370231776 4402502150234 5561055347664 6603753225351 8805004300468 11122110695328 13207506450702 17610008600936 26415012901404 35220017201872 52830025802808 70440034403744 105660051605616 211320103211232