Search a number
-
+
30102301312 = 271947389677
BaseRepresentation
bin11100000010001111…
…001010101010000000
32212200212210100101121
4130002033022222000
5443122142120222
621455004442024
72113651224256
oct340217125200
985625710347
1030102301312
1111847a67576
125a01249314
132ab9633215
141657c785d6
15bb2ad55c7
hex7023caa80

30102301312 has 128 divisors (see below), whose sum is σ = 64730016000. Its totient is φ = 13899165696.

The previous prime is 30102301301. The next prime is 30102301337. The reversal of 30102301312 is 21310320103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×301023013122 (a number of 22 digits) contains 22 as substring.

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

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, 44463918 + ... + 44464594.

It is an arithmetic number, because the mean of its divisors is an integer number (505703250).

Almost surely, 230102301312 is an apocalyptic number.

30102301312 is a gapful number since it is divisible by the number (32) 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 30102301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32365008000).

30102301312 is an abundant number, since it is smaller than the sum of its proper divisors (34627714688).

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

30102301312 is a wasteful number, since it uses less digits than its factorization.

30102301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30102301312 its reverse (21310320103), we get a palindrome (51412621415).

The spelling of 30102301312 in words is "thirty billion, one hundred two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 304 376 389 608 677 752 778 893 1216 1354 1504 1556 1786 2432 2708 3008 3112 3572 5416 6016 6224 7144 7391 10832 12448 12863 14288 14782 18283 21664 24896 25726 28576 29564 31819 36566 43328 49792 51452 57152 59128 63638 73132 86656 102904 114304 118256 127276 146264 205808 236512 254552 263353 292528 347377 411616 473024 509104 526706 585056 604561 694754 823232 946048 1018208 1053412 1170112 1209122 1389508 1646464 2036416 2106824 2340224 2418244 2779016 4072832 4213648 4836488 5003707 5558032 8427296 9672976 10007414 11116064 12377591 16854592 19345952 20014828 22232128 24755182 33709184 38691904 40029656 44464256 49510364 77383808 80059312 99020728 160118624 198041456 235174229 320237248 396082912 470348458 640474496 792165824 940696916 1584331648 1881393832 3762787664 7525575328 15051150656 30102301312