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30210221133312 = 293114933362459
BaseRepresentation
bin1101101111001110111010…
…11111111100111000000000
310221222001212020211210222120
412313213131133330320000
512424431013102231222
6144130214535404240
76235421304501543
oct667473537747000
9127861766753876
1030210221133312
1196980a0283a70
12347ab39b23680
1313b1a721c20ac
1476627ab1485a
15375c8573c15c
hex1b79dd7fce00

30210221133312 has 160 divisors (see below), whose sum is σ = 87816495634560. Its totient is φ = 9152731422720.

The previous prime is 30210221133311. The next prime is 30210221133319. The reversal of 30210221133312 is 21333112201203.

It is a super-2 number, since 2×302102211333122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30210221133311) 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, 83166739 + ... + 83529197.

It is an arithmetic number, because the mean of its divisors is an integer number (548853097716).

Almost surely, 230210221133312 is an apocalyptic number.

30210221133312 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 30210221133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908247817280).

30210221133312 is an abundant number, since it is smaller than the sum of its proper divisors (57606274501248).

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

30210221133312 is a wasteful number, since it uses less digits than its factorization.

30210221133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367424 (or 367408 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 30210221133312 its reverse (21333112201203), we get a palindrome (51543333334515).

The spelling of 30210221133312 in words is "thirty trillion, two hundred ten billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 4933 5632 8448 9866 14799 16896 19732 29598 39464 54263 59196 78928 108526 118392 157856 162789 217052 236784 315712 325578 362459 434104 473568 631424 651156 724918 868208 947136 1087377 1262848 1302312 1449836 1736416 1894272 2174754 2525696 2604624 2899672 3472832 3788544 3987049 4349508 5209248 5799344 6945664 7577088 7974098 8699016 10418496 11598688 11961147 13891328 15948196 17398032 20836992 23197376 23922294 27782656 31896392 34796064 41673984 46394752 47844588 63792784 69592128 83347968 92789504 95689176 127585568 139184256 185579008 191378352 255171136 278368512 382756704 510342272 556737024 765513408 1020684544 1531026816 1788010247 2041369088 3062053632 3576020494 5364030741 6124107264 7152040988 10728061482 14304081976 19668112717 21456122964 28608163952 39336225434 42912245928 57216327904 59004338151 78672450868 85824491856 114432655808 118008676302 157344901736 171648983712 228865311616 236017352604 314689803472 343297967424 457730623232 472034705208 629379606944 686595934848 915461246464 944069410416 1258759213888 1373191869696 1888138820832 2517518427776 2746383739392 3776277641664 5035036855552 7552555283328 10070073711104 15105110566656 30210221133312