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3001350012 = 2232917349853
BaseRepresentation
bin1011001011100100…
…1111011101111100
321202011120101012120
42302321033131330
522121321200022
61213453202540
7134243024403
oct26271173574
97664511176
103001350012
111300202761
126b9190450
1338aa67b6b
1420687863a
1512875dd5c
hexb2e4f77c

3001350012 has 48 divisors (see below), whose sum is σ = 7286660640. Its totient is φ = 960348928.

The previous prime is 3001350007. The next prime is 3001350013. The reversal of 3001350012 is 2100531003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3001349973 and 3001350000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001350013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35278 + ... + 85130.

It is an arithmetic number, because the mean of its divisors is an integer number (151805430).

Almost surely, 23001350012 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 3001350012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643330320).

3001350012 is an abundant number, since it is smaller than the sum of its proper divisors (4285310628).

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

3001350012 is a wasteful number, since it uses less digits than its factorization.

3001350012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50062 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3001350012 is about 54784.5782314695. The cubic root of 3001350012 is about 1442.4658772229.

Adding to 3001350012 its reverse (2100531003), we get a palindrome (5101881015).

The spelling of 3001350012 in words is "three billion, one million, three hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 173 174 346 348 519 692 1038 2076 5017 10034 15051 20068 30102 49853 60204 99706 149559 199412 299118 598236 1445737 2891474 4337211 5782948 8624569 8674422 17249138 17348844 25873707 34498276 51747414 103494828 250112501 500225002 750337503 1000450004 1500675006 3001350012