Search a number
-
+
211311230220300 = 223527175919082079
BaseRepresentation
bin110000000010111110111010…
…110100000111100000001100
31000201012011012221212001202010
4300002332322310013200030
5210144110344414022200
62025231012232501220
762336506162650540
oct6002767264074014
91021164187761663
10211311230220300
116136a653650261
121b84964754a810
1390ba7430447b2
143a277379b9a20
151966a53cc0150
hexc02fbad0780c

211311230220300 has 144 divisors (see below), whose sum is σ = 739837907343360. Its totient is φ = 45458550359040.

The previous prime is 211311230220281. The next prime is 211311230220319. The reversal of 211311230220300 is 3022032113112.

It is an interprime number because it is at equal distance from previous prime (211311230220281) and next prime (211311230220319).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2959505340 + ... + 2959576739.

It is an arithmetic number, because the mean of its divisors is an integer number (5137763245440).

Almost surely, 2211311230220300 is an apocalyptic number.

211311230220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211311230220300 is an abundant number, since it is smaller than the sum of its proper divisors (528526677123060).

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

211311230220300 is a wasteful number, since it uses less digits than its factorization.

211311230220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919082120 (or 5919082113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211311230220300 its reverse (3022032113112), we get a palindrome (214333262333412).

The spelling of 211311230220300 in words is "two hundred eleven trillion, three hundred eleven billion, two hundred thirty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 5919082079 11838164158 17757246237 23676328316 29595410395 35514492474 41433574553 59190820790 71028984948 82867149106 88786231185 100624395343 118381641580 124300723659 147977051975 165734298212 177572462370 201248790686 207167872765 248601447318 295954103950 301873186029 355144924740 402497581372 414335745530 443931155925 497202894636 503121976715 591908207900 603746372058 621503618295 704370767401 828671491060 887862311850 1006243953430 1035839363825 1207492744116 1243007236590 1408741534802 1509365930145 1775724623700 2012487906860 2071678727650 2113112302203 2486014473180 2515609883575 2817483069604 3018731860290 3107518091475 3521853837005 4143357455300 4226224604406 5031219767150 6037463720580 6215036182950 7043707674010 7546829650725 8452449208812 10062439534300 10565561511015 12430072365900 14087415348020 15093659301450 17609269185025 21131123022030 30187318602900 35218538370050 42262246044060 52827807555075 70437076740100 105655615110150 211311230220300