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103113133300 = 22521031131333
BaseRepresentation
bin110000000001000000…
…1011000110011110100
3100212011010112220022001
41200002001120303310
53142133430231200
6115211452145044
710310145112612
oct1400201306364
9325133486261
10103113133300
113a803748241
1217b98468184
139953785558
144dc26b66b2
152a376c976a
hex1802058cf4

103113133300 has 18 divisors (see below), whose sum is σ = 223755499478. Its totient is φ = 41245253280.

The previous prime is 103113133111. The next prime is 103113133309. The reversal of 103113133300 is 3331311301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1075052944 + 102038080356 = 32788^2 + 319434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103113133309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 515565567 + ... + 515565766.

Almost surely, 2103113133300 is an apocalyptic number.

103113133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113133300 is an abundant number, since it is smaller than the sum of its proper divisors (120642366178).

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

103113133300 is a wasteful number, since it uses less digits than its factorization.

103113133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031131347 (or 1031131340 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 103113133300 its reverse (3331311301), we get a palindrome (106444444601).

The spelling of 103113133300 in words is "one hundred three billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1031131333 2062262666 4124525332 5155656665 10311313330 20622626660 25778283325 51556566650 103113133300