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21001600000 = 210556563
BaseRepresentation
bin10011100011110010…
…101111110000000000
32000012122012211011001
4103203302233300000
5321002402200000
613351545101344
71342303440343
oct234362576000
960178184131
1021001600000
1189a7945a17
1240a1487854
131c99055164
14103332c45a
1582db6646a
hex4e3cafc00

21001600000 has 132 divisors (see below), whose sum is σ = 52483000248. Its totient is φ = 8399360000.

The previous prime is 21001599979. The next prime is 21001600013. The reversal of 21001600000 is 610012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21001600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3196719 + ... + 3203281.

Almost surely, 221001600000 is an apocalyptic number.

21001600000 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 21001600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241500124).

21001600000 is an abundant number, since it is smaller than the sum of its proper divisors (31481400248).

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

21001600000 is an frugal number, since it uses more digits than its factorization.

21001600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The spelling of 21001600000 in words is "twenty-one billion, one million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 6563 8000 10000 12500 12800 13126 16000 20000 25000 25600 26252 32000 32815 40000 50000 52504 64000 65630 80000 100000 105008 128000 131260 160000 164075 200000 210016 262520 320000 328150 400000 420032 525040 640000 656300 800000 820375 840064 1050080 1312600 1600000 1640750 1680128 2100160 2625200 3200000 3281500 3360256 4101875 4200320 5250400 6563000 6720512 8203750 8400640 10500800 13126000 16407500 16801280 20509375 21001600 26252000 32815000 33602560 41018750 42003200 52504000 65630000 82037500 84006400 105008000 131260000 164075000 168012800 210016000 262520000 328150000 420032000 525040000 656300000 840064000 1050080000 1312600000 2100160000 2625200000 4200320000 5250400000 10500800000 21001600000