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213320313120 = 2535444417319
BaseRepresentation
bin1100011010101011100…
…0011010100100100000
3202101121122210200221210
43012222320122210200
511443340000004440
6241555322350120
721261163513065
oct3065270324440
9671548720853
10213320313120
1182517834642
123541465b340
1317167b81765
14a4791cac6c
155837a98a80
hex31aae1a920

213320313120 has 48 divisors (see below), whose sum is σ = 671958987840. Its totient is φ = 56885416704.

The previous prime is 213320313109. The next prime is 213320313131. The reversal of 213320313120 is 21313023312.

It is an interprime number because it is at equal distance from previous prime (213320313109) and next prime (213320313131).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2133203131202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222208180 + ... + 222209139.

It is an arithmetic number, because the mean of its divisors is an integer number (13999145580).

Almost surely, 2213320313120 is an apocalyptic number.

213320313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320313120 is an abundant number, since it is smaller than the sum of its proper divisors (458638674720).

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

213320313120 is a wasteful number, since it uses less digits than its factorization.

213320313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444417337 (or 444417329 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213320313120 its reverse (21313023312), we get a palindrome (234633336432).

The spelling of 213320313120 in words is "two hundred thirteen billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 444417319 888834638 1333251957 1777669276 2222086595 2666503914 3555338552 4444173190 5333007828 6666259785 7110677104 8888346380 10666015656 13332519570 14221354208 17776692760 21332031312 26665039140 35553385520 42664062624 53330078280 71106771040 106660156560 213320313120