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121106300 = 225271710177
BaseRepresentation
bin1110011011111…
…10111101111100
322102212211121112
413031332331330
5222000400200
620003421152
73000246410
oct715767574
9272784545
10121106300
11623a7a57
12346847b8
131c123643
1412126d40
15a973535
hex737ef7c

121106300 has 72 divisors (see below), whose sum is σ = 318042144. Its totient is φ = 39075840.

The previous prime is 121106261. The next prime is 121106309. The reversal of 121106300 is 3601121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121106309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6812 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (4417252).

Almost surely, 2121106300 is an apocalyptic number.

121106300 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 121106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159021072).

121106300 is an abundant number, since it is smaller than the sum of its proper divisors (196935844).

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

121106300 is a wasteful number, since it uses less digits than its factorization.

121106300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 121106300 is about 11004.8307574447. The cubic root of 121106300 is about 494.7535419021.

Adding to 121106300 its reverse (3601121), we get a palindrome (124707421).

The spelling of 121106300 in words is "one hundred twenty-one million, one hundred six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 10177 11900 20354 40708 50885 71239 101770 142478 173009 203540 254425 284956 346018 356195 508850 692036 712390 865045 1017700 1211063 1424780 1730090 1780975 2422126 3460180 3561950 4325225 4844252 6055315 7123900 8650450 12110630 17300900 24221260 30276575 60553150 121106300