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10301131300 = 2252176059489
BaseRepresentation
bin10011001011111111…
…01100101000100100
3222120220101200121111
421211333230220210
5132044042200200
64422100554404
7513162112525
oct114577545044
928526350544
1010301131300
1144067a1459
121bb59b2a04
13c821c3185
146da14c84c
154045420ba
hex265feca24

10301131300 has 36 divisors (see below), whose sum is σ = 23668367940. Its totient is φ = 3878072320.

The previous prime is 10301131277. The next prime is 10301131301. The reversal of 10301131300 is 313110301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 613453824 + 9687677476 = 24768^2 + 98426^2 .

It is a super-2 number, since 2×103011313002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301131301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028045 + ... + 3031444.

It is an arithmetic number, because the mean of its divisors is an integer number (657454665).

Almost surely, 210301131300 is an apocalyptic number.

10301131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301131300 is an abundant number, since it is smaller than the sum of its proper divisors (13367236640).

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

10301131300 is a wasteful number, since it uses less digits than its factorization.

10301131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059520 (or 6059513 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10301131300 its reverse (313110301), we get a palindrome (10614241601).

The spelling of 10301131300 in words is "ten billion, three hundred one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 6059489 12118978 24237956 30297445 60594890 103011313 121189780 151487225 206022626 302974450 412045252 515056565 605948900 1030113130 2060226260 2575282825 5150565650 10301131300