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213310214304 = 25311201998309
BaseRepresentation
bin1100011010101001000…
…1111001000010100000
3202101120221210121222120
43012222101321002200
511443324403324204
6241554322104240
721261011622345
oct3065221710240
9671527717876
10213310214304
1182512067210
12354111ab080
1317165a56c25
14a477b1c7cc
155836c516d9
hex31aa4790a0

213310214304 has 48 divisors (see below), whose sum is σ = 610842889440. Its totient is φ = 64639458560.

The previous prime is 213310214233. The next prime is 213310214311. The reversal of 213310214304 is 403412013312.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 100998099 + ... + 101000210.

It is an arithmetic number, because the mean of its divisors is an integer number (12725893530).

Almost surely, 2213310214304 is an apocalyptic number.

213310214304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213310214304 is an abundant number, since it is smaller than the sum of its proper divisors (397532675136).

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

213310214304 is a wasteful number, since it uses less digits than its factorization.

213310214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201998333 (or 201998325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213310214304 its reverse (403412013312), we get a palindrome (616722227616).

The spelling of 213310214304 in words is "two hundred thirteen billion, three hundred ten million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 201998309 403996618 605994927 807993236 1211989854 1615986472 2221981399 2423979708 3231972944 4443962798 4847959416 6463945888 6665944197 8887925596 9695918832 13331888394 17775851192 19391837664 26663776788 35551702384 53327553576 71103404768 106655107152 213310214304