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211222131000 = 2335370407377
BaseRepresentation
bin1100010010110111010…
…0011111000100111000
3202012012102201000011220
43010231310133010320
511430040331143000
6241011211152040
721155165330046
oct3045564370470
9665172630156
10211222131000
1181640428331
1234b29a45620
1316bc227c18a
14a31a695396
1557637901a0
hex312dd1f138

211222131000 has 64 divisors (see below), whose sum is σ = 659013058080. Its totient is φ = 56325900800.

The previous prime is 211222130989. The next prime is 211222131023. The reversal of 211222131000 is 131222112.

211222131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 35200689 + ... + 35206688.

Almost surely, 2211222131000 is an apocalyptic number.

211222131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222131000 is an abundant number, since it is smaller than the sum of its proper divisors (447790927080).

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

211222131000 is a wasteful number, since it uses less digits than its factorization.

211222131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70407401 (or 70407387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211222131000 its reverse (131222112), we get a palindrome (211353353112).

The spelling of 211222131000 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 70407377 140814754 211222131 281629508 352036885 422444262 563259016 704073770 844888524 1056110655 1408147540 1689777048 1760184425 2112221310 2816295080 3520368850 4224442620 5280553275 7040737700 8448885240 8800922125 10561106550 14081475400 17601844250 21122213100 26402766375 35203688500 42244426200 52805532750 70407377000 105611065500 211222131000