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21201002000000 = 275610600501
BaseRepresentation
bin1001101001000001111100…
…01100010110111010000000
32210001210111021121111020022
410310200332030112322000
510234324123003000000
6113031334511033012
74315502410415504
oct464407614267200
983053437544208
1021201002000000
116834326a135a9
122464a9080b768
13baa327359044
145341c3894304
1526b7479ea585
hex13483e316e80

21201002000000 has 112 divisors (see below), whose sum is σ = 52794793163310. Its totient is φ = 8480400000000.

The previous prime is 21201001999999. The next prime is 21201002000027. The reversal of 21201002000000 is 20010212.

It can be written as a sum of positive squares in 7 ways, for example, as 3984942197824 + 17216059802176 = 1996232^2 + 4149224^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3300251 + ... + 7300250.

Almost surely, 221201002000000 is an apocalyptic number.

21201002000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201002000000 is an abundant number, since it is smaller than the sum of its proper divisors (31593791163310).

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

21201002000000 is an frugal number, since it uses more digits than its factorization.

21201002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600545 (or 10600508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 21201002000000 its reverse (20010212), we get a palindrome (21201022010212).

The spelling of 21201002000000 in words is "twenty-one trillion, two hundred one billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 10600501 21201002 42402004 53002505 84804008 106005010 169608016 212010020 265012525 339216032 424020040 530025050 678432064 848040080 1060050100 1325062625 1356864128 1696080160 2120100200 2650125250 3392160320 4240200400 5300250500 6625313125 6784320640 8480400800 10600501000 13250626250 16960801600 21201002000 26501252500 33126565625 33921603200 42402004000 53002505000 66253131250 84804008000 106005010000 132506262500 165632828125 169608016000 212010020000 265012525000 331265656250 424020040000 530025050000 662531312500 848040080000 1060050100000 1325062625000 2120100200000 2650125250000 4240200400000 5300250500000 10600501000000 21201002000000