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211210001200 = 2452113396713
BaseRepresentation
bin1100010010110100011…
…0001101101100110000
3202012011120212202020001
43010231012031230300
511430024230014300
6241010055155344
721154660250152
oct3045506155460
9665146782201
10211210001200
11816345a3000
1234b25975b54
1316bbc8c3093
14a318c18ad2
15576269616a
hex312d18db30

211210001200 has 120 divisors (see below), whose sum is σ = 558138513456. Its totient is φ = 76803443200.

The previous prime is 211210001173. The next prime is 211210001251. The reversal of 211210001200 is 2100012112.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 334044 + ... + 730756.

Almost surely, 2211210001200 is an apocalyptic number.

211210001200 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 211210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279069256728).

211210001200 is an abundant number, since it is smaller than the sum of its proper divisors (346928512256).

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

211210001200 is a wasteful number, since it uses less digits than its factorization.

211210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396764 (or 396731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211210001200 its reverse (2100012112), we get a palindrome (213310013312).

The spelling of 211210001200 in words is "two hundred eleven billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1331 1936 2200 2420 2662 3025 4400 4840 5324 6050 6655 9680 10648 12100 13310 21296 24200 26620 33275 48400 53240 66550 106480 133100 266200 396713 532400 793426 1586852 1983565 3173704 3967130 4363843 6347408 7934260 8727686 9917825 15868520 17455372 19835650 21819215 31737040 34910744 39671300 43638430 48002273 69821488 79342600 87276860 96004546 109096075 158685200 174553720 192009092 218192150 240011365 349107440 384018184 436384300 480022730 528025003 768036368 872768600 960045460 1056050006 1200056825 1745537200 1920090920 2112100012 2400113650 2640125015 3840181840 4224200024 4800227300 5280250030 8448400048 9600454600 10560500060 13200625075 19200909200 21121000120 26401250150 42242000240 52802500300 105605000600 211210001200