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213002213220 = 223351318329921
BaseRepresentation
bin1100011001011111101…
…0111101011101100100
3202100210111020112221000
43012113322331131210
511442212031310340
6241504000353300
721250251640116
oct3062772753544
9670714215830
10213002213220
1182374218465
1235346015830
1317116cb7374
14a448c653b6
155819bb1d30
hex3197ebd764

213002213220 has 96 divisors (see below), whose sum is σ = 662745968640. Its totient is φ = 56794383360.

The previous prime is 213002213209. The next prime is 213002213243. The reversal of 213002213220 is 22312200312.

213002213220 is a `hidden beast` number, since 21 + 300 + 2 + 21 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213002213193 and 213002213202.

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 31 ways as a sum of consecutive naturals, for example, 7103860 + ... + 7133780.

It is an arithmetic number, because the mean of its divisors is an integer number (6903603840).

Almost surely, 2213002213220 is an apocalyptic number.

213002213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002213220 is an abundant number, since it is smaller than the sum of its proper divisors (449743755420).

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

213002213220 is a wasteful number, since it uses less digits than its factorization.

213002213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43122 (or 43114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213002213220 its reverse (22312200312), we get a palindrome (235314413532).

The spelling of 213002213220 in words is "two hundred thirteen billion, two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 13183 26366 29921 39549 52732 59842 65915 79098 89763 118647 119684 131830 149605 158196 179526 197745 237294 263660 269289 299210 355941 359052 395490 448815 474588 538578 593235 598420 711882 790980 807867 897630 1077156 1186470 1346445 1423764 1615734 1779705 1795260 2372940 2692890 3231468 3559410 4039335 5385780 7118820 8078670 16157340 394448543 788897086 1183345629 1577794172 1972242715 2366691258 3550036887 3944485430 4733382516 5916728145 7100073774 7888970860 10650110661 11833456290 14200147548 17750184435 21300221322 23666912580 35500368870 42600442644 53250553305 71000737740 106501106610 213002213220