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21011002000 = 245353379523
BaseRepresentation
bin10011100100010110…
…100111001010010000
32000020021220111021021
4103210112213022100
5321012304031000
613352522405224
71342446366412
oct234426471220
960207814237
1021011002000
118a0218786a
1240a4660814
131c9ac97781
1410346989b2
1582e8c211a
hex4e45a7290

21011002000 has 160 divisors (see below), whose sum is σ = 51998993280. Its totient is φ = 8208345600.

The previous prime is 21011001989. The next prime is 21011002031. The reversal of 21011002000 is 20011012.

Adding to 21011002000 its reverse (20011012), we get a palindrome (21031013012).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40173739 + ... + 40174261.

It is an arithmetic number, because the mean of its divisors is an integer number (324993708).

Almost surely, 221011002000 is an apocalyptic number.

21011002000 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 21011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999496640).

21011002000 is an abundant number, since it is smaller than the sum of its proper divisors (30987991280).

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

21011002000 is a wasteful number, since it uses less digits than its factorization.

21011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The spelling of 21011002000 in words is "twenty-one billion, eleven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 379 400 424 500 523 530 758 848 1000 1046 1060 1325 1516 1895 2000 2092 2120 2615 2650 3032 3790 4184 4240 5230 5300 6064 6625 7580 8368 9475 10460 10600 13075 13250 15160 18950 20087 20920 21200 26150 26500 27719 30320 37900 40174 41840 47375 52300 53000 55438 65375 75800 80348 94750 100435 104600 106000 110876 130750 138595 151600 160696 189500 198217 200870 209200 221752 261500 277190 321392 379000 396434 401740 443504 502175 523000 554380 692975 758000 792868 803480 991085 1004350 1046000 1108760 1385950 1585736 1606960 1982170 2008700 2217520 2510875 2771900 3171472 3464875 3964340 4017400 4955425 5021750 5543800 6929750 7928680 8034800 9910850 10043500 10505501 11087600 13859500 15857360 19821700 20087000 21011002 24777125 27719000 39643400 40174000 42022004 49554250 52527505 55438000 79286800 84044008 99108500 105055010 168088016 198217000 210110020 262637525 396434000 420220040 525275050 840440080 1050550100 1313187625 2101100200 2626375250 4202200400 5252750500 10505501000 21011002000