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30003220032 = 2631726593457
BaseRepresentation
bin11011111100010101…
…001100111001000000
32212102222100111102120
4123330111030321000
5442421311020112
621441105044240
72111336106462
oct337425147100
985388314376
1030003220032
11117a7043315
125994026680
132aa1c51946
141648a46132
15ba9062e8c
hex6fc54ce40

30003220032 has 112 divisors (see below), whose sum is σ = 84109072320. Its totient is φ = 9406513152.

The previous prime is 30003220007. The next prime is 30003220061. The reversal of 30003220032 is 23002230003.

It is a junction number, because it is equal to n+sod(n) for n = 30003219993 and 30003220020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8677248 + ... + 8680704.

It is an arithmetic number, because the mean of its divisors is an integer number (750973860).

Almost surely, 230003220032 is an apocalyptic number.

30003220032 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 30003220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054536160).

30003220032 is an abundant number, since it is smaller than the sum of its proper divisors (54105852288).

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

30003220032 is a wasteful number, since it uses less digits than its factorization.

30003220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 30003220032 its reverse (23002230003), we get a palindrome (53005450035).

The spelling of 30003220032 in words is "thirty billion, three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 2659 3264 3457 5318 6914 7977 10371 10636 13828 15954 20742 21272 27656 31908 41484 42544 45203 55312 58769 63816 82968 85088 90406 110624 117538 127632 135609 165936 170176 176307 180812 221248 235076 255264 271218 331872 352614 361624 470152 510528 542436 663744 705228 723248 940304 1084872 1410456 1446496 1880608 2169744 2820912 2892992 3761216 4339488 5641824 8678976 9192163 11283648 18384326 27576489 36768652 55152978 73537304 110305956 147074608 156266771 220611912 294149216 312533542 441223824 468800313 588298432 625067084 882447648 937600626 1250134168 1764895296 1875201252 2500268336 3750402504 5000536672 7500805008 10001073344 15001610016 30003220032