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30333102221312 = 211115572417347
BaseRepresentation
bin1101110010110011110011…
…10010000110100000000000
310222101211001001021212012222
412321121321302012200000
512433434143132040222
6144302500151510212
76250331356506452
oct671317162064000
9128354031255188
1030333102221312
119735218470150
12349a912688368
1313c0526258057
1476c1b694c2d2
153790785e8542
hex1b9679c86800

30333102221312 has 96 divisors (see below), whose sum is σ = 66283972241760. Its totient is φ = 13763014410240.

The previous prime is 30333102221291. The next prime is 30333102221327. The reversal of 30333102221312 is 21312220133303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11339423 + ... + 13756769.

It is an arithmetic number, because the mean of its divisors is an integer number (690458044185).

Almost surely, 230333102221312 is an apocalyptic number.

30333102221312 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 30333102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33141986120880).

30333102221312 is an abundant number, since it is smaller than the sum of its proper divisors (35950870020448).

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

30333102221312 is a wasteful number, since it uses less digits than its factorization.

30333102221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417937 (or 2417917 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 30333102221312 its reverse (21312220133303), we get a palindrome (51645322354615).

The spelling of 30333102221312 in words is "thirty trillion, three hundred thirty-three billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 557 704 1024 1114 1408 2048 2228 2816 4456 5632 6127 8912 11264 12254 17824 22528 24508 35648 49016 71296 98032 142592 196064 285184 392128 570368 784256 1140736 1568512 2417347 3137024 4834694 6274048 9669388 12548096 19338776 26590817 38677552 53181634 77355104 106363268 154710208 212726536 309420416 425453072 618840832 850906144 1237681664 1346462279 1701812288 2475363328 2692924558 3403624576 4950726656 5385849116 6807249152 10771698232 13614498304 14811085069 21543396464 27228996608 29622170138 43086792928 54457993216 59244340276 86173585856 118488680552 172347171712 236977361104 344694343424 473954722208 689388686848 947909444416 1378777373696 1895818888832 2757554747392 3791637777664 7583275555328 15166551110656 30333102221312