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121915700 = 225211310789
BaseRepresentation
bin1110100010001…
…00100100110100
322111101221220022
413101010210310
5222202300300
620033024312
73010160234
oct721044464
9274357808
10121915700
1162900085
12349b5098
131c347b8a
1412297cc4
15aa83285
hex7444934

121915700 has 36 divisors (see below), whose sum is σ = 266923020. Its totient is φ = 48330240.

The previous prime is 121915669. The next prime is 121915727. The reversal of 121915700 is 7519121.

It can be written as a sum of positive squares in 6 ways, for example, as 27164944 + 94750756 = 5212^2 + 9734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121915700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5906 + ... + 16694.

Almost surely, 2121915700 is an apocalyptic number.

121915700 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 121915700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133461510).

121915700 is an abundant number, since it is smaller than the sum of its proper divisors (145007320).

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

121915700 is a wasteful number, since it uses less digits than its factorization.

121915700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 121915700 is about 11041.5442760512. The cubic root of 121915700 is about 495.8533049100.

The spelling of 121915700 in words is "one hundred twenty-one million, nine hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 10789 11300 21578 43156 53945 107890 215780 269725 539450 1078900 1219157 2438314 4876628 6095785 12191570 24383140 30478925 60957850 121915700