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30022233312032 = 2513373217606313
BaseRepresentation
bin1101101001110000110001…
…00011010100101100100000
310221022002122001121000220022
412310320120203110230200
512413341013211441112
6143504005032133012
76216014633414003
oct664703043245440
9127262561530808
1030022233312032
1196253a30324a5
12344a615237168
13139a11370cba0
1475b12610153a
15370e31b41d72
hex1b4e188d4b20

30022233312032 has 96 divisors (see below), whose sum is σ = 65393686037232. Its totient is φ = 13477704597504.

The previous prime is 30022233311977. The next prime is 30022233312053. The reversal of 30022233312032 is 23021333222003.

It can be written as a sum of positive squares in 8 ways, for example, as 20355581264656 + 9666652047376 = 4511716^2 + 3109124^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 30022233311992 and 30022233312010.

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 15 ways as a sum of consecutive naturals, for example, 49212908 + ... + 49819220.

Almost surely, 230022233312032 is an apocalyptic number.

30022233312032 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 30022233312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32696843018616).

30022233312032 is an abundant number, since it is smaller than the sum of its proper divisors (35371452725200).

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

30022233312032 is a wasteful number, since it uses less digits than its factorization.

30022233312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609590 (or 609582 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 30022233312032 its reverse (23021333222003), we get a palindrome (53043566534035).

The spelling of 30022233312032 in words is "thirty trillion, twenty-two billion, two hundred thirty-three million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3217 3848 6434 7696 12868 15392 25736 41821 51472 83642 102944 119029 167284 238058 334568 476116 606313 669136 952232 1212626 1338272 1547377 1904464 2425252 3094754 3808928 4850504 6189508 7882069 9701008 12379016 15764138 19402016 22433581 24758032 31528276 44867162 49516064 63056552 89734324 126113104 179468648 252226208 291636553 358937296 583273106 717874592 1166546212 1950508921 2333092424 3901017842 4666184848 7802035684 9332369696 15604071368 25356615973 31208142736 50713231946 62416285472 72168830077 101426463892 144337660154 202852927784 288675320308 405705855568 577350640616 811411711136 938194791001 1154701281232 1876389582002 2309402562464 3752779164004 7505558328008 15011116656016 30022233312032