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3121201248 = 253112955683
BaseRepresentation
bin1011101000001001…
…1100000001100000
322001112002110012020
42322002130001200
522343011414443
61233414101440
7140226526044
oct27202340140
98045073166
103121201248
111361922770
1273134a880
133a983c159
14218756024
15134035583
hexba09c060

3121201248 has 48 divisors (see below), whose sum is σ = 8937988416. Its totient is φ = 945818240.

The previous prime is 3121201189. The next prime is 3121201313. The reversal of 3121201248 is 8421021213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476786 + ... + 1478897.

It is an arithmetic number, because the mean of its divisors is an integer number (186208092).

Almost surely, 23121201248 is an apocalyptic number.

It is an amenable number.

3121201248 is an abundant number, since it is smaller than the sum of its proper divisors (5816787168).

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

3121201248 is a wasteful number, since it uses less digits than its factorization.

3121201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955707 (or 2955699 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3121201248 is about 55867.7120347701. The cubic root of 3121201248 is about 1461.4162225954.

The spelling of 3121201248 in words is "three billion, one hundred twenty-one million, two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2955683 5911366 8867049 11822732 17734098 23645464 32512513 35468196 47290928 65025026 70936392 94581856 97537539 130050052 141872784 195075078 260100104 283745568 390150156 520200208 780300312 1040400416 1560600624 3121201248