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120000103300 = 225272117131357
BaseRepresentation
bin110111111000010010…
…0000100001110000100
3102110202000100212012101
41233300210010032010
53431230011301200
6131043254401444
711445500022400
oct1576044041604
9373660325171
10120000103300
1146989a257a0
121b30b960284
13b4152223ac
145b45372100
1531c4ec626a
hex1bf0904384

120000103300 has 216 divisors, whose sum is σ = 335117176128. Its totient is φ = 36874656000.

The previous prime is 120000103297. The next prime is 120000103303. The reversal of 120000103300 is 3301000021.

It is an interprime number because it is at equal distance from previous prime (120000103297) and next prime (120000103303).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120000103303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3811222 + ... + 3842578.

It is an arithmetic number, because the mean of its divisors is an integer number (1551468408).

Almost surely, 2120000103300 is an apocalyptic number.

120000103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167558588064).

120000103300 is an abundant number, since it is smaller than the sum of its proper divisors (215117072828).

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

120000103300 is a wasteful number, since it uses less digits than its factorization.

120000103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31467 (or 31453 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 120000103300 its reverse (3301000021), we get a palindrome (123301103321).

The spelling of 120000103300 in words is "one hundred twenty billion, one hundred three thousand, three hundred".