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3121310320 = 245415411759
BaseRepresentation
bin1011101000001011…
…0110101001110000
322001112021222210221
42322002312221300
522343023412240
61233420302424
7140230462042
oct27202665160
98045258727
103121310320
111361997707
127313a1a14
133a98799ab
14218783a92
15134057a4a
hexba0b6a70

3121310320 has 80 divisors (see below), whose sum is σ = 7452023040. Its totient is φ = 1215129600.

The previous prime is 3121310317. The next prime is 3121310321. The reversal of 3121310320 is 230131213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31213103202 = 19485156227477004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3121310294 and 3121310303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121310321) 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, 1773601 + ... + 1775359.

It is an arithmetic number, because the mean of its divisors is an integer number (93150288).

Almost surely, 23121310320 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 3121310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726011520).

3121310320 is an abundant number, since it is smaller than the sum of its proper divisors (4330712720).

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

3121310320 is a wasteful number, since it uses less digits than its factorization.

3121310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3121310320 is about 55868.6881893606. The cubic root of 3121310320 is about 1461.4332457136.

Adding to 3121310320 its reverse (230131213), we get a palindrome (3351441533).

The spelling of 3121310320 in words is "three billion, one hundred twenty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 541 656 820 1082 1640 1759 2164 2705 3280 3518 4328 5410 7036 8656 8795 10820 14072 17590 21640 22181 28144 35180 43280 44362 70360 72119 88724 110905 140720 144238 177448 221810 288476 354896 360595 443620 576952 721190 887240 951619 1153904 1442380 1774480 1903238 2884760 3806476 4758095 5769520 7612952 9516190 15225904 19032380 38064760 39016379 76129520 78032758 156065516 195081895 312131032 390163790 624262064 780327580 1560655160 3121310320