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213303003220 = 2251391494191229
BaseRepresentation
bin1100011010100111011…
…0011000100001010100
3202101120110020021020101
43012221312120201110
511443321032100340
6241553503343444
721260563416646
oct3065166304124
9671513207211
10213303003220
1182508a9143a
123540a8b1b84
1317164400908
14a476ba2896
1558362c9c9a
hex31a9d98854

213303003220 has 96 divisors (see below), whose sum is σ = 455641200000. Its totient is φ = 83869767168.

The previous prime is 213303003203. The next prime is 213303003227. The reversal of 213303003220 is 22300303312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303003227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173557566 + ... + 173558794.

It is an arithmetic number, because the mean of its divisors is an integer number (4746262500).

Almost surely, 2213303003220 is an apocalyptic number.

213303003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213303003220 is an abundant number, since it is smaller than the sum of its proper divisors (242338196780).

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

213303003220 is a wasteful number, since it uses less digits than its factorization.

213303003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 213303003220 its reverse (22300303312), we get a palindrome (235603306532).

The spelling of 213303003220 in words is "two hundred thirteen billion, three hundred three million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 139 149 278 298 419 556 596 695 745 838 1229 1390 1490 1676 2095 2458 2780 2980 4190 4916 6145 8380 12290 20711 24580 41422 58241 62431 82844 103555 116482 124862 170831 183121 207110 232964 249724 291205 312155 341662 366242 414220 514951 582410 624310 683324 732484 854155 915605 1029902 1164820 1248620 1708310 1831210 2059804 2574755 3416620 3662420 5149510 8677909 10299020 17355818 25453819 34711636 43389545 50907638 71578189 76727699 86779090 101815276 127269095 143156378 153455398 173558180 254538190 286312756 306910796 357890945 383638495 509076380 715781890 767276990 1431563780 1534553980 10665150161 21330300322 42660600644 53325750805 106651501610 213303003220