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2212133300300 = 22527111097261887
BaseRepresentation
bin100000001100001101011…
…010110110100001001100
321211110220101002001110002
4200030031122312201030
5242220422111102200
64412123501503432
7315551503543310
oct40141532664114
97743811061402
102212133300300
1178318463a0a0
122b8886b71b78
131307ac51aa81
14790d416bb40
153c821753bd5
hex2030d6b684c

2212133300300 has 144 divisors (see below), whose sum is σ = 5990304595968. Its totient is φ = 688864934400.

The previous prime is 2212133300173. The next prime is 2212133300317. The reversal of 2212133300300 is 30033312122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8315957 + ... + 8577843.

It is an arithmetic number, because the mean of its divisors is an integer number (41599337472).

Almost surely, 22212133300300 is an apocalyptic number.

2212133300300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212133300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995152297984).

2212133300300 is an abundant number, since it is smaller than the sum of its proper divisors (3778171295668).

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

2212133300300 is a wasteful number, since it uses less digits than its factorization.

2212133300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263016 (or 263009 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2212133300300 its reverse (30033312122), we get a palindrome (2242166612422).

The spelling of 2212133300300 in words is "two trillion, two hundred twelve billion, one hundred thirty-three million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1097 1100 1540 1925 2194 3850 4388 5485 7679 7700 10970 12067 15358 21940 24134 27425 30716 38395 48268 54850 60335 76790 84469 109700 120670 153580 168938 191975 241340 261887 301675 337876 383950 422345 523774 603350 767900 844690 1047548 1206700 1309435 1689380 1833209 2111725 2618870 2880757 3666418 4223450 5237740 5761514 6547175 7332836 8446900 9166045 11523028 13094350 14403785 18332090 20165299 26188700 28807570 36664180 40330598 45830225 57615140 72018925 80661196 91660450 100826495 144037850 183320900 201652990 287290039 288075700 403305980 504132475 574580078 1008264950 1149160156 1436450195 2011030273 2016529900 2872900390 3160190429 4022060546 5745800780 6320380858 7182250975 8044121092 10055151365 12640761716 14364501950 15800952145 20110302730 22121333003 28729003900 31601904290 40220605460 44242666006 50275756825 63203808580 79004760725 88485332012 100551513650 110606665015 158009521450 201103027300 221213330030 316019042900 442426660060 553033325075 1106066650150 2212133300300