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2212434342300 = 2235271381041551
BaseRepresentation
bin100000001100011111010…
…111001111000110011100
321211111200100112120102210
4200030133113033012130
5242222031142423200
64412213414120420
7315562120422630
oct40143727170634
97744610476383
102212434342300
11783319565436
122b894b950110
131308299c1c30
1479122132dc0
153c83cdbb650
hex2031f5cf19c

2212434342300 has 144 divisors (see below), whose sum is σ = 7878535519232. Its totient is φ = 466799328000.

The previous prime is 2212434342259. The next prime is 2212434342301. The reversal of 2212434342300 is 32434342122.

2212434342300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212434342301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40493476 + ... + 40548075.

Almost surely, 22212434342300 is an apocalyptic number.

2212434342300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212434342300 is an abundant number, since it is smaller than the sum of its proper divisors (5666101176932).

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

2212434342300 is a wasteful number, since it uses less digits than its factorization.

2212434342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81041588 (or 81041581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2212434342300 its reverse (32434342122), we get a palindrome (2244868684422).

The spelling of 2212434342300 in words is "two trillion, two hundred twelve billion, four hundred thirty-four million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 81041551 162083102 243124653 324166204 405207755 486249306 567290857 810415510 972498612 1053540163 1134581714 1215623265 1620831020 1701872571 2026038775 2107080326 2269163428 2431246530 2836454285 3160620489 3403745142 4052077550 4214160652 4862493060 5267700815 5672908570 6078116325 6321240978 6807490284 7374781141 8104155100 8509362855 10535401630 11345817140 12156232650 12642481956 14182271425 14749562282 15803102445 17018725710 21070803260 22124343423 24312465300 26338504075 28364542850 29499124564 31606204890 34037451420 36873905705 42546814275 44248686846 52677008150 56729085700 63212409780 73747811410 79015512225 85093628550 88497373692 105354016300 110621717115 147495622820 158031024450 170187257100 184369528525 221243434230 316062048900 368739057050 442486868460 553108585575 737478114100 1106217171150 2212434342300