Search a number
-
+
30310222133232 = 2432319776949769
BaseRepresentation
bin1101110010001001001100…
…00001011111011111110000
310222022121222111100221212100
412321010212001133133300
512433100313331230412
6144244153540100400
76245561363123346
oct671044601373760
9128277874327770
1030310222133232
119726547232348
1234963a8094700
1313bb31ac919b2
1476b045d55996
15378689ac2edc
hex1b912605f7f0

30310222133232 has 120 divisors (see below), whose sum is σ = 87652500773760. Its totient is φ = 9767481937920.

The previous prime is 30310222133221. The next prime is 30310222133297. The reversal of 30310222133232 is 23233122201303.

30310222133232 is a `hidden beast` number, since 3 + 0 + 3 + 102 + 221 + 332 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30310222133196 and 30310222133205.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 886444 + ... + 7836212.

It is an arithmetic number, because the mean of its divisors is an integer number (730437506448).

Almost surely, 230310222133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30310222133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43826250386880).

30310222133232 is an abundant number, since it is smaller than the sum of its proper divisors (57342278640528).

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

30310222133232 is a wasteful number, since it uses less digits than its factorization.

30310222133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950791 (or 6950782 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 30310222133232 its reverse (23233122201303), we get a palindrome (53543344334535).

The spelling of 30310222133232 in words is "thirty trillion, three hundred ten billion, two hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 977 1116 1488 1954 2232 2931 3908 4464 5862 7816 8793 11724 15632 17586 23448 30287 35172 46896 60574 70344 90861 121148 140688 181722 242296 272583 363444 484592 545166 726888 1090332 1453776 2180664 4361328 6949769 13899538 20849307 27799076 41698614 55598152 62547921 83397228 111196304 125095842 166794456 215442839 250191684 333588912 430885678 500383368 646328517 861771356 1000766736 1292657034 1723542712 1938985551 2585314068 3447085424 3877971102 5170628136 6789924313 7755942204 10341256272 13579848626 15511884408 20369772939 27159697252 31023768816 40739545878 54319394504 61109318817 81479091756 108638789008 122218637634 162958183512 210487653703 244437275268 325916367024 420975307406 488874550536 631462961109 841950614812 977749101072 1262925922218 1683901229624 1894388883327 2525851844436 3367802459248 3788777766654 5051703688872 7577555533308 10103407377744 15155111066616 30310222133232