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213320132010 = 23351257762819
BaseRepresentation
bin1100011010101011011…
…1101110010110101010
3202101121122110111112000
43012222313232112222
511443334423211020
6241555314431430
721261162130056
oct3065267562652
9671548414460
10213320132010
1182517720567
1235414592576
1317167b1a1ab
14a479180c66
155837a60090
hex31aadee5aa

213320132010 has 64 divisors (see below), whose sum is σ = 568907971200. Its totient is φ = 56879940096.

The previous prime is 213320131993. The next prime is 213320132017. The reversal of 213320132010 is 10231023312.

213320132010 is a `hidden beast` number, since 2 + 1 + 332 + 0 + 1 + 320 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213320132017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3364381 + ... + 3427199.

It is an arithmetic number, because the mean of its divisors is an integer number (8889187050).

Almost surely, 2213320132010 is an apocalyptic number.

213320132010 is an abundant number, since it is smaller than the sum of its proper divisors (355587839190).

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

213320132010 is a wasteful number, since it uses less digits than its factorization.

213320132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75412 (or 75406 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213320132010 its reverse (10231023312), we get a palindrome (223551155322).

The spelling of 213320132010 in words is "two hundred thirteen billion, three hundred twenty million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 12577 25154 37731 62819 62885 75462 113193 125638 125770 188457 188655 226386 314095 339579 376914 377310 565371 565965 628190 679158 942285 1130742 1131930 1696113 1697895 1884570 2826855 3392226 3395790 5653710 8480565 16961130 790074563 1580149126 2370223689 3950372815 4740447378 7110671067 7900745630 11851118445 14221342134 21332013201 23702236890 35553355335 42664026402 71106710670 106660066005 213320132010