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121324224100 = 225211310736657
BaseRepresentation
bin111000011111101111…
…1001011111001100100
3102121011021221011110111
41300333133023321210
53441433000132400
6131422515102404
711523345614032
oct1607737137144
9377137834414
10121324224100
11474a93a8302
121b61b2a1a04
13b596654321
145c2d171552
15325137d3ba
hex1c3f7cbe64

121324224100 has 36 divisors (see below), whose sum is σ = 265603445604. Its totient is φ = 48100218880.

The previous prime is 121324224061. The next prime is 121324224121. The reversal of 121324224100 is 1422423121.

It can be written as a sum of positive squares in 6 ways, for example, as 56241071104 + 65083152996 = 237152^2 + 255114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5357029 + ... + 5379628.

It is an arithmetic number, because the mean of its divisors is an integer number (7377873489).

Almost surely, 2121324224100 is an apocalyptic number.

121324224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121324224100 is an abundant number, since it is smaller than the sum of its proper divisors (144279221504).

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

121324224100 is a wasteful number, since it uses less digits than its factorization.

121324224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736784 (or 10736777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 121324224100 its reverse (1422423121), we get a palindrome (122746647221).

The spelling of 121324224100 in words is "one hundred twenty-one billion, three hundred twenty-four million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 10736657 21473314 42946628 53683285 107366570 214733140 268416425 536832850 1073665700 1213242241 2426484482 4852968964 6066211205 12132422410 24264844820 30331056025 60662112050 121324224100