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21134232200 = 2352238144381
BaseRepresentation
bin10011101011101100…
…101100101010001000
32000112212210020022202
4103223230230222020
5321240330412300
613413043535332
71345504003214
oct235354545210
960485706282
1021134232200
118a657a5504
12411998a548
131cba682a53
141046bb5944
1583a614ad5
hex4ebb2ca88

21134232200 has 48 divisors (see below), whose sum is σ = 49158834660. Its totient is φ = 8449952000.

The previous prime is 21134232191. The next prime is 21134232269. The reversal of 21134232200 is 223243112.

It can be written as a sum of positive squares in 6 ways, for example, as 929884036 + 20204348164 = 30494^2 + 142142^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 454010 + ... + 498390.

Almost surely, 221134232200 is an apocalyptic number.

21134232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21134232200 is an abundant number, since it is smaller than the sum of its proper divisors (28024602460).

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

21134232200 is a wasteful number, since it uses less digits than its factorization.

21134232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46778 (or 46769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21134232200 its reverse (223243112), we get a palindrome (21357475312).

The spelling of 21134232200 in words is "twenty-one billion, one hundred thirty-four million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2381 4762 9524 11905 19048 23810 44381 47620 59525 88762 95240 119050 177524 221905 238100 355048 443810 476200 887620 1109525 1775240 2219050 4438100 8876200 105671161 211342322 422684644 528355805 845369288 1056711610 2113423220 2641779025 4226846440 5283558050 10567116100 21134232200