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30002222110112 = 2574314512146691
BaseRepresentation
bin1101101001001011011111…
…10010101001010110100000
310221020011222102222122111122
412310211233302221112200
512413024022330010422
6143450455222431412
76214406014123310
oct664455762512640
9127204872878448
1030002222110112
11961796425229a
12344676b592568
1313982749125c5
1475a188541440
1537065ee11d42
hex1b496fca95a0

30002222110112 has 96 divisors (see below), whose sum is σ = 69122520681984. Its totient is φ = 12550408416000.

The previous prime is 30002222110097. The next prime is 30002222110123. The reversal of 30002222110112 is 21101122220003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12902687 + ... + 15049377.

It is an arithmetic number, because the mean of its divisors is an integer number (720026257104).

Almost surely, 230002222110112 is an apocalyptic number.

30002222110112 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 30002222110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561260340992).

30002222110112 is an abundant number, since it is smaller than the sum of its proper divisors (39120298571872).

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

30002222110112 is a wasteful number, since it uses less digits than its factorization.

30002222110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148202 (or 2148194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 30002222110112 its reverse (21101122220003), we get a palindrome (51103344330115).

The spelling of 30002222110112 in words is "thirty trillion, two billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 1451 2408 2902 4816 5804 9632 10157 11608 20314 23216 40628 46432 62393 81256 124786 162512 249572 325024 436751 499144 873502 998288 1747004 1996576 2146691 3494008 4293382 6988016 8586764 13976032 15026837 17173528 30053674 34347056 60107348 68694112 92307713 120214696 184615426 240429392 369230852 480858784 646153991 738461704 1292307982 1476923408 2584615964 2953846816 3114848641 5169231928 6229697282 10338463856 12459394564 20676927712 21803940487 24918789128 43607880974 49837578256 87215761948 99675156512 133938491563 174431523896 267876983126 348863047792 535753966252 697726095584 937569440941 1071507932504 1875138881882 2143015865008 3750277763764 4286031730016 7500555527528 15001111055056 30002222110112