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213323032220 = 225172349105751
BaseRepresentation
bin1100011010101100001…
…0110010011010011100
3202101121211220211212012
43012223002302122130
511443341144012340
6241555500530352
721261225566354
oct3065302623234
9671554824765
10213323032220
1182519321531
12354155509b8
13171685c42ac
14a4796d7b64
155837e34565
hex31ab0b269c

213323032220 has 72 divisors (see below), whose sum is σ = 477248200800. Its totient is φ = 80078976000.

The previous prime is 213323032201. The next prime is 213323032243. The reversal of 213323032220 is 22230323312.

It is a super-3 number, since 3×2133230322203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964345 + ... + 2070095.

Almost surely, 2213323032220 is an apocalyptic number.

213323032220 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 213323032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238624100400).

213323032220 is an abundant number, since it is smaller than the sum of its proper divisors (263925168580).

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

213323032220 is a wasteful number, since it uses less digits than its factorization.

213323032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106143 (or 106124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 213323032220 its reverse (22230323312), we get a palindrome (235553355532).

The spelling of 213323032220 in words is "two hundred thirteen billion, three hundred twenty-three million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 349 578 698 1156 1396 1445 1745 2890 3490 5780 5933 6980 11866 23732 29665 59330 100861 105751 118660 201722 211502 403444 423004 504305 528755 1008610 1057510 1797767 2017220 2115020 3595534 7191068 8988835 17977670 30562039 35955340 36907099 61124078 73814198 122248156 147628396 152810195 184535495 305620390 369070990 611240780 627420683 738141980 1254841366 2509682732 3137103415 6274206830 10666151611 12548413660 21332303222 42664606444 53330758055 106661516110 213323032220