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21203200000 = 211553313
BaseRepresentation
bin10011101111110011…
…110010100000000000
32000201200120011100201
4103233303302200000
5321411004400000
613423550054544
71350302140423
oct235763624000
960650504321
1021203200000
118aa0720a94
124138aaa454
131ccba4c7b8
1410520099ba
158416d996a
hex4efcf2800

21203200000 has 144 divisors (see below), whose sum is σ = 53007661980. Its totient is φ = 8478720000.

The previous prime is 21203199977. The next prime is 21203200001. The reversal of 21203200000 is 230212.

It can be written as a sum of positive squares in 6 ways, for example, as 217621504 + 20985578496 = 14752^2 + 144864^2 .

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 21203200000.

It is not an unprimeable number, because it can be changed into a prime (21203200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6398344 + ... + 6401656.

Almost surely, 221203200000 is an apocalyptic number.

21203200000 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 21203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503830990).

21203200000 is an abundant number, since it is smaller than the sum of its proper divisors (31804461980).

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

21203200000 is an frugal number, since it uses more digits than its factorization.

21203200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 21203200000 its reverse (230212), we get a palindrome (21203430212).

The spelling of 21203200000 in words is "twenty-one billion, two hundred three million, two 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 2048 2500 2560 3125 3200 3313 4000 5000 5120 6250 6400 6626 8000 10000 10240 12500 12800 13252 16000 16565 20000 25000 25600 26504 32000 33130 40000 50000 51200 53008 64000 66260 80000 82825 100000 106016 128000 132520 160000 165650 200000 212032 256000 265040 320000 331300 400000 414125 424064 530080 640000 662600 800000 828250 848128 1060160 1280000 1325200 1600000 1656500 1696256 2070625 2120320 2650400 3200000 3313000 3392512 4141250 4240640 5300800 6400000 6626000 6785024 8282500 8481280 10353125 10601600 13252000 16565000 16962560 20706250 21203200 26504000 33130000 33925120 41412500 42406400 53008000 66260000 82825000 84812800 106016000 132520000 165650000 169625600 212032000 265040000 331300000 424064000 530080000 662600000 848128000 1060160000 1325200000 2120320000 2650400000 4240640000 5300800000 10601600000 21203200000