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21000132000 = 253253583337
BaseRepresentation
bin10011100011101101…
…001001010110100000
32000012112110020102200
4103203231021112200
5321002013211000
613351453413200
71342255114431
oct234355112640
960175406380
1021000132000
1189a7032aa1
1240a0a9a200
131c9895cc13
141033069488
1582d976500
hex4e3b495a0

21000132000 has 144 divisors (see below), whose sum is σ = 74529596232. Its totient is φ = 5600025600.

The previous prime is 21000131989. The next prime is 21000132029. The reversal of 21000132000 is 23100012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6389124624 + 14611007376 = 79932^2 + 120876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255669 + ... + 327668.

Almost surely, 221000132000 is an apocalyptic number.

21000132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000132000 is an abundant number, since it is smaller than the sum of its proper divisors (53529464232).

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

21000132000 is a wasteful number, since it uses less digits than its factorization.

21000132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583368 (or 583347 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21000132000 its reverse (23100012), we get a palindrome (21023232012).

The spelling of 21000132000 in words is "twenty-one billion, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 583337 1166674 1750011 2333348 2916685 3500022 4666696 5250033 5833370 7000044 8750055 9333392 10500066 11666740 14000088 14583425 17500110 18666784 21000132 23333480 26250165 28000176 29166850 35000220 42000264 43750275 46666960 52500330 56000352 58333700 70000440 72917125 84000528 87500550 93333920 105000660 116667400 131250825 140000880 145834250 168001056 175001100 210001320 218751375 233334800 262501650 280001760 291668500 350002200 420002640 437502750 466669600 525003300 583337000 656254125 700004400 840005280 875005500 1050006600 1166674000 1312508250 1400008800 1750011000 2100013200 2333348000 2625016500 3500022000 4200026400 5250033000 7000044000 10500066000 21000132000