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30212010304 = 2671812291627
BaseRepresentation
bin11100001000110001…
…101011000101000000
32212222112020010211121
4130020301223011000
5443333233312204
621513524122024
72116452564460
oct341061530500
985875203747
1030212010304
11118a398a563
125a31b36314
132b06295c98
141668675ba0
15bbc556b54
hex708c6b140

30212010304 has 112 divisors (see below), whose sum is σ = 69238449280. Its totient is φ = 12812359680.

The previous prime is 30212010281. The next prime is 30212010337. The reversal of 30212010304 is 40301021203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18568339 + ... + 18569965.

It is an arithmetic number, because the mean of its divisors is an integer number (618200440).

Almost surely, 230212010304 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 30212010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34619224640).

30212010304 is an abundant number, since it is smaller than the sum of its proper divisors (39026438976).

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

30212010304 is a wasteful number, since it uses less digits than its factorization.

30212010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30212010304 its reverse (40301021203), we get a palindrome (70513031507).

The spelling of 30212010304 in words is "thirty billion, two hundred twelve million, ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 229 362 448 458 724 916 1267 1448 1603 1627 1832 2534 2896 3206 3254 3664 5068 5792 6412 6508 7328 10136 11389 11584 12824 13016 14656 20272 22778 25648 26032 40544 41449 45556 51296 52064 81088 82898 91112 102592 104128 165796 182224 290143 294487 331592 364448 372583 580286 588974 663184 728896 745166 1160572 1177948 1326368 1490332 2061409 2321144 2355896 2608081 2652736 2980664 4122818 4642288 4711792 5216162 5961328 8245636 9284576 9423584 10432324 11922656 16491272 18569152 18847168 20864648 23845312 32982544 41729296 65965088 67437523 83458592 131930176 134875046 166917184 269750092 472062661 539500184 944125322 1079000368 1888250644 2158000736 3776501288 4316001472 7553002576 15106005152 30212010304