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30003013222300 = 22524153376736653
BaseRepresentation
bin1101101001001100111101…
…11100011111111110011100
310221020021000120121022102001
412310212132330133332130
512413032132341103200
6143451105523012044
76214434431351656
oct664463674377634
9127207016538361
1030003013222300
11961822a872618
12344695050a024
13139836c7a2c21
1475a2216356d6
153706a95d076a
hex1b499ef1ff9c

30003013222300 has 144 divisors (see below), whose sum is σ = 67972783338432. Its totient is φ = 11484215142400.

The previous prime is 30003013222297. The next prime is 30003013222307. The reversal of 30003013222300 is 322231030003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30003013222307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818550774 + ... + 818587426.

It is an arithmetic number, because the mean of its divisors is an integer number (472033217628).

Almost surely, 230003013222300 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 30003013222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986391669216).

30003013222300 is an abundant number, since it is smaller than the sum of its proper divisors (37969770116132).

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

30003013222300 is a wasteful number, since it uses less digits than its factorization.

30003013222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40528 (or 40521 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30003013222300 its reverse (322231030003), we get a palindrome (30325244252303).

The spelling of 30003013222300 in words is "thirty trillion, three billion, thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 53 82 100 106 164 205 212 265 410 530 820 1025 1060 1325 2050 2173 2650 3767 4100 4346 5300 7534 8692 10865 15068 18835 21730 36653 37670 43460 54325 73306 75340 94175 108650 146612 154447 183265 188350 199651 217300 308894 366530 376700 399302 617788 733060 772235 798604 916325 998255 1502773 1544470 1832650 1942609 1996510 3005546 3088940 3665300 3861175 3885218 3993020 4991275 6011092 7513865 7722350 7770436 8185691 9713045 9982550 15027730 15444700 16371382 19426090 19965100 30055460 32742764 37569325 38852180 40928455 48565225 75138650 79646969 81856910 97130450 138071851 150277300 159293938 163713820 194260900 204642275 276143702 318587876 398234845 409284550 552287404 690359255 796469690 818569100 1380718510 1592939380 1991174225 2761437020 3451796275 3982348450 5660945891 6903592550 7317808103 7964696900 11321891782 13807185100 14635616206 22643783564 28304729455 29271232412 36589040515 56609458910 73178081030 113218917820 141523647275 146356162060 182945202575 283047294550 300030132223 365890405150 566094589100 600060264446 731780810300 1200120528892 1500150661115 3000301322230 6000602644460 7500753305575 15001506611150 30003013222300