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21201302000 = 2453191314259
BaseRepresentation
bin10011101111101100…
…100011000111110000
32000201112222201210102
4103233230203013300
5321410013131000
613423441251532
71350250044044
oct235754430760
960645881712
1021201302000
118a9a644a9a
124138333ba8
131ccb536918
141051a74024
158414623d5
hex4efb231f0

21201302000 has 160 divisors (see below), whose sum is σ = 54387590400. Its totient is φ = 7970976000.

The previous prime is 21201301999. The next prime is 21201302027. The reversal of 21201302000 is 20310212.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4975871 + ... + 4980129.

It is an arithmetic number, because the mean of its divisors is an integer number (339922440).

Almost surely, 221201302000 is an apocalyptic number.

21201302000 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 21201302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27193795200).

21201302000 is an abundant number, since it is smaller than the sum of its proper divisors (33186288400).

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

21201302000 is a wasteful number, since it uses less digits than its factorization.

21201302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21201302000 its reverse (20310212), we get a palindrome (21221612212).

The spelling of 21201302000 in words is "twenty-one billion, two hundred one million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 131 152 190 200 250 262 304 380 400 475 500 524 655 760 950 1000 1048 1310 1520 1900 2000 2096 2375 2489 2620 3275 3800 4259 4750 4978 5240 6550 7600 8518 9500 9956 10480 12445 13100 16375 17036 19000 19912 21295 24890 26200 32750 34072 38000 39824 42590 49780 52400 62225 65500 68144 80921 85180 99560 106475 124450 131000 161842 170360 199120 212950 248900 262000 311125 323684 340720 404605 425900 497800 532375 557929 622250 647368 809210 851800 995600 1064750 1115858 1244500 1294736 1618420 1703600 2023025 2129500 2231716 2489000 2789645 3236840 4046050 4259000 4463432 4978000 5579290 6473680 8092100 8518000 8926864 10115125 10600651 11158580 13948225 16184200 20230250 21201302 22317160 27896450 32368400 40460500 42402604 44634320 53003255 55792900 69741125 80921000 84805208 106006510 111585800 139482250 161842000 169610416 212013020 223171600 265016275 278964500 424026040 530032550 557929000 848052080 1060065100 1115858000 1325081375 2120130200 2650162750 4240260400 5300325500 10600651000 21201302000