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211001100212300 = 225247311144353219
BaseRepresentation
bin101111111110011110000101…
…101000000001100001001100
31000200002111201110112022102112
4233332132011220001201030
5210124020223123243200
62024432322310243152
762305216651250156
oct5776360550014114
91020074643468375
10211001100212300
1161260078312022
121b7b95156564b8
13909741a609418
143a16717351ad6
15195d952122535
hexbfe785a0184c

211001100212300 has 72 divisors (see below), whose sum is σ = 469117939530240. Its totient is φ = 82339075547200.

The previous prime is 211001100212299. The next prime is 211001100212311. The reversal of 211001100212300 is 3212001100112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70714910 + ... + 73638309.

It is an arithmetic number, because the mean of its divisors is an integer number (6515526937920).

Almost surely, 2211001100212300 is an apocalyptic number.

211001100212300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001100212300 is an abundant number, since it is smaller than the sum of its proper divisors (258116839317940).

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

211001100212300 is a wasteful number, since it uses less digits than its factorization.

211001100212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144353591 (or 144353584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211001100212300 its reverse (3212001100112), we get a palindrome (214213101312412).

The spelling of 211001100212300 in words is "two hundred eleven trillion, one billion, one hundred million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 311 470 622 940 1175 1244 1555 2350 3110 4700 6220 7775 14617 15550 29234 31100 58468 73085 146170 292340 365425 730850 1461700 144353219 288706438 577412876 721766095 1443532190 2887064380 3608830475 6784601293 7217660950 13569202586 14435321900 27138405172 33923006465 44893851109 67846012930 89787702218 135692025860 169615032325 179575404436 224469255545 339230064650 448938511090 678460129300 897877022180 1122346277725 2110011002123 2244692555450 4220022004246 4489385110900 8440044008492 10550055010615 21100110021230 42200220042460 52750275053075 105500550106150 211001100212300