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21132312022200 = 2335264217548461
BaseRepresentation
bin1001100111000001111111…
…11100111000110010111000
32202211020012011022001222110
410303200333330320302320
510232212433334202300
6112540014454252320
74310521251300531
oct463407774706270
982736164261873
1021132312022200
116808188244605
1224537006570a0
13ba39cb448372
14530b48c4b688
15269a77409550
hex13383ff38cb8

21132312022200 has 96 divisors (see below), whose sum is σ = 65511306851760. Its totient is φ = 5635185177600.

The previous prime is 21132312022189. The next prime is 21132312022223. The reversal of 21132312022200 is 222021323112.

It is a super-2 number, since 2×211323120222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38255970 + ... + 38804430.

Almost surely, 221132312022200 is an apocalyptic number.

21132312022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132312022200 is an abundant number, since it is smaller than the sum of its proper divisors (44378994829560).

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

21132312022200 is a wasteful number, since it uses less digits than its factorization.

21132312022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612697 (or 612688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21132312022200 its reverse (222021323112), we get a palindrome (21354333345312).

The spelling of 21132312022200 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 64217 128434 192651 256868 321085 385302 513736 548461 642170 770604 963255 1096922 1284340 1541208 1605425 1645383 1926510 2193844 2568680 2742305 3210850 3290766 3853020 4387688 4816275 5484610 6421700 6581532 7706040 8226915 9632550 10969220 12843400 13163064 13711525 16453830 19265100 21938440 27423050 32907660 38530200 41134575 54846100 65815320 82269150 109692200 164538300 329076600 35220520037 70441040074 105661560111 140882080148 176102600185 211323120222 281764160296 352205200370 422646240444 528307800555 704410400740 845292480888 880513000925 1056615601110 1408820801480 1761026001850 2113231202220 2641539002775 3522052003700 4226462404440 5283078005550 7044104007400 10566156011100 21132312022200