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213314204232 = 233210943362773
BaseRepresentation
bin1100011010101010000…
…1000111001001001000
3202101121020022100010200
43012222201013021020
511443331414013412
6241554543412200
721261060550653
oct3065241071110
9671536270120
10213314204232
1182514341978
12354125b4060
131716682302c
14a47847a89a
15583728d9dc
hex31aa847248

213314204232 has 96 divisors (see below), whose sum is σ = 584381998200. Its totient is φ = 70288570368.

The previous prime is 213314204209. The next prime is 213314204261. The reversal of 213314204232 is 232402413312.

213314204232 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 420 + 4 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195970894596 + 17343309636 = 442686^2 + 131694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213314204196 and 213314204205.

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, 3366798 + ... + 3429570.

Almost surely, 2213314204232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213314204232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292190999100).

213314204232 is an abundant number, since it is smaller than the sum of its proper divisors (371067793968).

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

213314204232 is a wasteful number, since it uses less digits than its factorization.

213314204232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63327 (or 63320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213314204232 its reverse (232402413312), we get a palindrome (445716617544).

The spelling of 213314204232 in words is "two hundred thirteen billion, three hundred fourteen million, two hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 433 436 654 866 872 981 1299 1308 1732 1962 2598 2616 3464 3897 3924 5196 7794 7848 10392 15588 31176 47197 62773 94394 125546 141591 188319 188788 251092 283182 376638 377576 424773 502184 564957 566364 753276 849546 1129914 1132728 1506552 1699092 2259828 3398184 4519656 6842257 13684514 20526771 27180709 27369028 41053542 54361418 54738056 61580313 81542127 82107084 108722836 123160626 163084254 164214168 217445672 244626381 246321252 326168508 489252762 492642504 652337016 978505524 1957011048 2962697281 5925394562 8888091843 11850789124 17776183686 23701578248 26664275529 35552367372 53328551058 71104734744 106657102116 213314204232