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30013210321312 = 254188332997853
BaseRepresentation
bin1101101001011111111101…
…01111010110000110100000
310221021020100020020121112211
412310233332233112012200
512413214023320240222
6143455513430131504
76215245221306421
oct664577657260640
9127236306217484
1030013210321312
119621592868a79
1234489174b0b94
13139930627011a
1475a90ba23648
15370aa4923277
hex1b4bfebd61a0

30013210321312 has 96 divisors (see below), whose sum is σ = 60624328564800. Its totient is φ = 14617715374080.

The previous prime is 30013210321279. The next prime is 30013210321319. The reversal of 30013210321312 is 21312301231003.

It is not an unprimeable number, because it can be changed into a prime (30013210321319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821874378 + ... + 3821882230.

It is an arithmetic number, because the mean of its divisors is an integer number (631503422550).

Almost surely, 230013210321312 is an apocalyptic number.

30013210321312 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 30013210321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312164282400).

30013210321312 is an abundant number, since it is smaller than the sum of its proper divisors (30611118243488).

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

30013210321312 is a wasteful number, since it uses less digits than its factorization.

30013210321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12086 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 30013210321312 its reverse (21312301231003), we get a palindrome (51325511552315).

The spelling of 30013210321312 in words is "thirty trillion, thirteen billion, two hundred ten million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 883 1312 1766 3299 3532 6598 7064 7853 13196 14128 15706 26392 28256 31412 36203 52784 62824 72406 105568 125648 135259 144812 251296 270518 289624 321973 541036 579248 643946 1082072 1158496 1287892 2164144 2575784 2913017 4328288 5151568 5826034 6934199 10303136 11652068 13868398 23304136 25907047 27736796 46608272 51814094 55473592 93216544 103628188 110947184 119433697 207256376 221894368 238867394 284302159 414512752 477734788 568604318 829025504 955469576 1062188927 1137208636 1910939152 2124377854 2274417272 3821878304 4248755708 4548834544 8497511416 9097669088 16995022832 22875922501 33990045664 45751845002 91503690004 183007380008 366014760016 732029520032 937912822541 1875825645082 3751651290164 7503302580328 15006605160656 30013210321312