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30001303001322 = 232191673181165133
BaseRepresentation
bin1101101001001001110010…
…00000100001100011101010
310221020002121101112002021100
412310210321000201203222
512413020132032020242
6143450224111022230
76214344153616662
oct664447100414352
9127202541462240
1030001303001322
119617532459254
12344655380a976
131398159388353
1475a0dc44d1a2
153706093ad54c
hex1b49390218ea

30001303001322 has 96 divisors (see below), whose sum is σ = 68855805083520. Its totient is φ = 9414347057280.

The previous prime is 30001303001281. The next prime is 30001303001359. The reversal of 30001303001322 is 22310030310003.

30001303001322 is a `hidden beast` number, since 30 + 0 + 0 + 13 + 0 + 300 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30001303001295 and 30001303001304.

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 47 ways as a sum of consecutive naturals, for example, 181597068 + ... + 181762200.

It is an arithmetic number, because the mean of its divisors is an integer number (717247969620).

Almost surely, 230001303001322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001303001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34427902541760).

30001303001322 is an abundant number, since it is smaller than the sum of its proper divisors (38854502082198).

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

30001303001322 is a wasteful number, since it uses less digits than its factorization.

30001303001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168508 (or 168505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30001303001322 its reverse (22310030310003), we get a palindrome (52311333311325).

The spelling of 30001303001322 in words is "thirty trillion, one billion, three hundred three million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 1002 1503 3006 3173 3181 6346 6362 9519 9543 19038 19086 28557 28629 57114 57258 60439 120878 165133 181317 330266 362634 495399 531227 543951 990798 1062454 1087902 1486197 1593681 2972394 3137527 3187362 4781043 6275054 9412581 9562086 10093313 18825162 20186626 27577211 28237743 30279939 55154422 56475486 60559878 82731633 90839817 165463266 181679634 248194899 496389798 523967009 525288073 1047934018 1050576146 1571901027 1575864219 3143802054 3151728438 4715703081 4727592657 9431406162 9455185314 9980473387 19960946774 29941420161 59882840322 87723108191 89824260483 175446216382 179648520966 263169324573 526338649146 789507973719 1579015947438 1666739055629 3333478111258 5000217166887 10000434333774 15000651500661 30001303001322