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21029301000 = 233453259621
BaseRepresentation
bin10011100101011100…
…011010101100001000
32000021120100011210000
4103211130122230020
5321032000113000
613354414523000
71343061052311
oct234534325410
960246304700
1021029301000
118a11546104
1240aa806460
131ca1a03896
141036c9d608
158312d9000
hex4e571ab08

21029301000 has 160 divisors (see below), whose sum is σ = 73509373080. Its totient is φ = 5607792000.

The previous prime is 21029300989. The next prime is 21029301043. The reversal of 21029301000 is 10392012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4433162724 + 16596138276 = 66582^2 + 128826^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48811 + ... + 210810.

Almost surely, 221029301000 is an apocalyptic number.

21029301000 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 21029301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36754686540).

21029301000 is an abundant number, since it is smaller than the sum of its proper divisors (52480072080).

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

21029301000 is a wasteful number, since it uses less digits than its factorization.

21029301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259654 (or 259631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21029301000 its reverse (10392012), we get a palindrome (21039693012).

The spelling of 21029301000 in words is "twenty-one billion, twenty-nine million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 259621 519242 778863 1038484 1298105 1557726 2076968 2336589 2596210 3115452 3894315 4673178 5192420 6230904 6490525 7009767 7788630 9346356 10384840 11682945 12981050 14019534 15577260 18692712 19471575 21029301 23365890 25962100 28039068 31154520 32452625 35048835 38943150 42058602 46731780 51924200 56078136 58414725 64905250 70097670 77886300 84117204 93463560 97357875 105146505 116829450 129810500 140195340 155772600 168234408 175244175 194715750 210293010 233658900 259621000 280390680 292073625 350488350 389431500 420586020 467317800 525732525 584147250 700976700 778863000 841172040 876220875 1051465050 1168294500 1401953400 1752441750 2102930100 2336589000 2628662625 3504883500 4205860200 5257325250 7009767000 10514650500 21029301000