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3001193130 = 2351357113477
BaseRepresentation
bin1011001011100010…
…1001001010101010
321202011021102000010
42302320221022222
522121301140010
61213445552350
7134241502125
oct26270511252
97664242003
103001193130
111300105901
126b91156b6
1338aa11630
142068373bc
1512872c620
hexb2e292aa

3001193130 has 64 divisors (see below), whose sum is σ = 7771091328. Its totient is φ = 737406720.

The previous prime is 3001193113. The next prime is 3001193149. The reversal of 3001193130 is 313911003.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3001193097 and 3001193106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215952 + ... + 229428.

It is an arithmetic number, because the mean of its divisors is an integer number (121423302).

Almost surely, 23001193130 is an apocalyptic number.

3001193130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001193130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885545664).

3001193130 is an abundant number, since it is smaller than the sum of its proper divisors (4769898198).

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

3001193130 is a wasteful number, since it uses less digits than its factorization.

3001193130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 3001193130 is about 54783.1464047110. The cubic root of 3001193130 is about 1442.4407439913.

The spelling of 3001193130 in words is "three billion, one million, one hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 571 1142 1713 2855 3426 5710 7423 8565 13477 14846 17130 22269 26954 37115 40431 44538 67385 74230 80862 111345 134770 175201 202155 222690 350402 404310 525603 876005 1051206 1752010 2628015 5256030 7695367 15390734 23086101 38476835 46172202 76953670 100039771 115430505 200079542 230861010 300119313 500198855 600238626 1000397710 1500596565 3001193130