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3141221300 = 225276766977
BaseRepresentation
bin1011101100111011…
…0011101110110100
322002220202120112122
42323032303232310
522413123040200
61235411135112
7140561640410
oct27316635664
98086676478
103141221300
111372157068
12737ba4498
133b0a2b739
1421b287d40
15135b8c385
hexbb3b3bb4

3141221300 has 72 divisors (see below), whose sum is σ = 7906618944. Its totient is φ = 1060899840.

The previous prime is 3141221287. The next prime is 3141221311. The reversal of 3141221300 is 31221413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13412 + ... + 80388.

It is an arithmetic number, because the mean of its divisors is an integer number (109814152).

Almost surely, 23141221300 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 3141221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953309472).

3141221300 is an abundant number, since it is smaller than the sum of its proper divisors (4765397644).

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

3141221300 is a wasteful number, since it uses less digits than its factorization.

3141221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67065 (or 67058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3141221300 is about 56046.5993616027. The cubic root of 3141221300 is about 1464.5341776729.

Adding to 3141221300 its reverse (31221413), we get a palindrome (3172442713).

The spelling of 3141221300 in words is "three billion, one hundred forty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 23450 46900 66977 133954 267908 334885 468839 669770 937678 1339540 1674425 1875356 2344195 3348850 4487459 4688390 6697700 8974918 9376780 11720975 17949836 22437295 23441950 31412213 44874590 46883900 62824426 89749180 112186475 125648852 157061065 224372950 314122130 448745900 628244260 785305325 1570610650 3141221300