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211332133000 = 2353211332133
BaseRepresentation
bin1100010011010001100…
…0000111000010001000
3202012111002200200120001
43010310120013002020
511430302011224000
6241030141012344
721161002330432
oct3046430070210
9665432620501
10211332133000
118169753047a
1234b5a8540b4
1316c0bcb5411
14a32b12b652
15576d26d46a
hex3134607088

211332133000 has 32 divisors (see below), whose sum is σ = 494517193560. Its totient is φ = 84532852800.

The previous prime is 211332132919. The next prime is 211332133087. The reversal of 211332133000 is 331233112.

It can be written as a sum of positive squares in 4 ways, for example, as 118318112676 + 93014020324 = 343974^2 + 304982^2 .

It is a super-2 number, since 2×2113321330002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105665067 + ... + 105667066.

Almost surely, 2211332133000 is an apocalyptic number.

211332133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332133000 is an abundant number, since it is smaller than the sum of its proper divisors (283185060560).

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

211332133000 is a wasteful number, since it uses less digits than its factorization.

211332133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211332154 (or 211332140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 211332133000 its reverse (331233112), we get a palindrome (211663366112).

The spelling of 211332133000 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 211332133 422664266 845328532 1056660665 1690657064 2113321330 4226642660 5283303325 8453285320 10566606650 21133213300 26416516625 42266426600 52833033250 105666066500 211332133000