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212021010320 = 24571289293723
BaseRepresentation
bin1100010101110101101…
…1111101111110010000
3202021021002221021120212
43011131123331332100
511433204334312240
6241222350023252
721214035565220
oct3053533757620
9667232837525
10212021010320
1181a10373179
12351114a7b28
1316cbb92bc32
14a39480c080
1557ad995165
hex315d6fdf90

212021010320 has 80 divisors (see below), whose sum is σ = 563809092480. Its totient is φ = 72636275712.

The previous prime is 212021010277. The next prime is 212021010337. The reversal of 212021010320 is 23010120212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2120210103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212021010295 and 212021010304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574979 + ... + 868701.

It is an arithmetic number, because the mean of its divisors is an integer number (7047613656).

Almost surely, 2212021010320 is an apocalyptic number.

212021010320 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 212021010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281904546240).

212021010320 is an abundant number, since it is smaller than the sum of its proper divisors (351788082160).

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

212021010320 is a wasteful number, since it uses less digits than its factorization.

212021010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295032 (or 295026 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212021010320 its reverse (23010120212), we get a palindrome (235031130532).

The spelling of 212021010320 in words is "two hundred twelve billion, twenty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1289 2578 5156 6445 9023 10312 12890 18046 20624 25780 36092 45115 51560 72184 90230 103120 144368 180460 293723 360920 587446 721840 1174892 1468615 2056061 2349784 2937230 4112122 4699568 5874460 8224244 10280305 11748920 16448488 20560610 23497840 32896976 41121220 82242440 164484880 378608947 757217894 1514435788 1893044735 2650262629 3028871576 3786089470 5300525258 6057743152 7572178940 10601050516 13251313145 15144357880 21202101032 26502626290 30288715760 42404202064 53005252580 106010505160 212021010320