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30003300132 = 22313717513607
BaseRepresentation
bin11011111100010101…
…100000011100100100
32212102222111120022020
4123330111200130210
5442421321101012
621441110503140
72111336562141
oct337425403444
985388446266
1030003300132
11117a7098513
125994064ab0
132aa1c7c240
141648a673c8
15ba907ba8c
hex6fc560724

30003300132 has 96 divisors (see below), whose sum is σ = 76577808384. Its totient is φ = 9087120000.

The previous prime is 30003300113. The next prime is 30003300137. The reversal of 30003300132 is 23100330003.

It is not an unprimeable number, because it can be changed into a prime (30003300137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8316273 + ... + 8319879.

It is an arithmetic number, because the mean of its divisors is an integer number (797685504).

Almost surely, 230003300132 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 30003300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38288904192).

30003300132 is an abundant number, since it is smaller than the sum of its proper divisors (46574508252).

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

30003300132 is a wasteful number, since it uses less digits than its factorization.

30003300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30003300132 its reverse (23100330003), we get a palindrome (53103630135).

The spelling of 30003300132 in words is "thirty billion, three million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 751 852 923 1502 1846 2253 2769 3004 3607 3692 4506 5538 7214 9012 9763 10821 11076 14428 19526 21642 29289 39052 43284 46891 53321 58578 93782 106642 117156 140673 159963 187564 213284 256097 281346 319926 512194 562692 639852 693173 768291 1024388 1386346 1536582 2079519 2708857 2772692 3073164 3329261 4159038 5417714 6658522 8126571 8318076 9987783 10835428 13317044 16253142 19975566 32506284 35215141 39951132 70430282 105645423 140860564 192328847 211290846 384657694 422581692 576986541 769315388 1153973082 2307946164 2500275011 5000550022 7500825033 10001100044 15001650066 30003300132