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212023240101200 = 245211310131553771
BaseRepresentation
bin110000001101010110000001…
…111010010000110101010000
31000210201020001011001121212202
4300031112001322100311100
5210242242043431214300
62030534044251342332
762442113354043233
oct6015260172206520
91023636034047782
10212023240101200
116161460766a160
121b9436361519a8
13913c9236c5828
143a4dd9dd5141a
15197a3273eaad5
hexc0d581e90d50

212023240101200 has 120 divisors (see below), whose sum is σ = 555711913205856. Its totient is φ = 77096824384000.

The previous prime is 212023240101181. The next prime is 212023240101221. The reversal of 212023240101200 is 2101042320212.

It is a super-2 number, since 2×2120232401012002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135680315 + ... + 137234085.

Almost surely, 2212023240101200 is an apocalyptic number.

212023240101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212023240101200 is an abundant number, since it is smaller than the sum of its proper divisors (343688673104656).

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

212023240101200 is a wasteful number, since it uses less digits than its factorization.

212023240101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584813 (or 1584802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212023240101200 its reverse (2101042320212), we get a palindrome (214124282421412).

The spelling of 212023240101200 in words is "two hundred twelve trillion, twenty-three billion, two hundred forty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 31013 62026 124052 155065 248104 310130 341143 496208 620260 682286 775325 1240520 1364572 1550650 1553771 1705715 2481040 2729144 3101300 3107542 3411430 5458288 6202600 6215084 6822860 7768855 8528575 12405200 12430168 13645720 15537710 17057150 17091481 24860336 27291440 31075420 34114300 34182962 38844275 62150840 68228600 68365924 77688550 85457405 124301680 136457200 136731848 155377100 170914810 273463696 310754200 341829620 427287025 621508400 683659240 854574050 1367318480 1709148100 3418296200 6836592400 48187100023 96374200046 192748400092 240935500115 385496800184 481871000230 530058100253 770993600368 963742000460 1060116200506 1204677500575 1927484000920 2120232401012 2409355001150 2650290501265 3854968001840 4240464802024 4818710002300 5300581002530 8480929604048 9637420004600 10601162005060 13251452506325 19274840009200 21202324010120 26502905012650 42404648020240 53005810025300 106011620050600 212023240101200