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1301221300 = 225229448697
BaseRepresentation
bin100110110001111…
…0000111110110100
310100200110220001111
41031203300332310
510131103040200
6333041404404
744150125051
oct11543607664
93320426044
101301221300
11608561905
12303939704
13179774b42
14c4b5c028
15793820ba
hex4d8f0fb4

1301221300 has 36 divisors (see below), whose sum is σ = 2921023980. Its totient is φ = 502539520.

The previous prime is 1301221261. The next prime is 1301221301. The reversal of 1301221300 is 31221031.

It can be written as a sum of positive squares in 6 ways, for example, as 21585316 + 1279635984 = 4646^2 + 35772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301221301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221449 + ... + 227248.

It is an arithmetic number, because the mean of its divisors is an integer number (81139555).

Almost surely, 21301221300 is an apocalyptic number.

1301221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301221300 is an abundant number, since it is smaller than the sum of its proper divisors (1619802680).

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

1301221300 is a wasteful number, since it uses less digits than its factorization.

1301221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448740 (or 448733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1301221300 is about 36072.4451624782. The cubic root of 1301221300 is about 1091.7345499681.

Adding to 1301221300 its reverse (31221031), we get a palindrome (1332442331).

The spelling of 1301221300 in words is "one billion, three hundred one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 448697 897394 1794788 2243485 4486970 8973940 11217425 13012213 22434850 26024426 44869700 52048852 65061065 130122130 260244260 325305325 650610650 1301221300