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21013230003200 = 210521363360209
BaseRepresentation
bin1001100011100100001100…
…00111000010010000000000
32202101211211010110201200022
410301302012013002100000
510223240043340100300
6112405202233313012
74266104266653551
oct461620607022000
982354733421608
1021013230003200
11677172a583176
122434608265768
13b957014b1b26
1452908d7c2328
15266907d33285
hex131c861c2400

21013230003200 has 132 divisors (see below), whose sum is σ = 52092050554980. Its totient is φ = 8404535869440.

The previous prime is 21013230003187. The next prime is 21013230003209. The reversal of 21013230003200 is 230003231012.

It can be written as a sum of positive squares in 6 ways, for example, as 3490500050944 + 17522729952256 = 1868288^2 + 4186016^2 .

It is not an unprimeable number, because it can be changed into a prime (21013230003209) 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, 348974696 + ... + 349034904.

Almost surely, 221013230003200 is an apocalyptic number.

21013230003200 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 21013230003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046025277490).

21013230003200 is an abundant number, since it is smaller than the sum of its proper divisors (31078820551780).

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

21013230003200 is a wasteful number, since it uses less digits than its factorization.

21013230003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73872 (or 73849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21013230003200 its reverse (230003231012), we get a palindrome (21243233234212).

The spelling of 21013230003200 in words is "twenty-one trillion, thirteen billion, two hundred thirty million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 13633 25600 27266 54532 60209 68165 109064 120418 136330 218128 240836 272660 301045 340825 436256 481672 545320 602090 681650 872512 963344 1090640 1204180 1363300 1505225 1745024 1926688 2181280 2408360 2726600 3010450 3490048 3853376 4362560 4816720 5453200 6020900 6980096 7706752 8725120 9633440 10906400 12041800 13960192 15413504 17450240 19266880 21812800 24083600 30827008 34900480 38533760 43625600 48167200 61654016 69800960 77067520 87251200 96334400 154135040 174502400 192668800 308270080 349004800 385337600 770675200 820829297 1541350400 1641658594 3283317188 4104146485 6566634376 8208292970 13133268752 16416585940 20520732425 26266537504 32833171880 41041464850 52533075008 65666343760 82082929700 105066150016 131332687520 164165859400 210132300032 262665375040 328331718800 420264600064 525330750080 656663437600 840529200128 1050661500160 1313326875200 2101323000320 2626653750400 4202646000640 5253307500800 10506615001600 21013230003200