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2324025252100 = 2252371280949037
BaseRepresentation
bin100001110100011010101…
…100110001100100000100
322020011201022112010210001
4201310122230301210010
5301034100431031400
64535350434411044
7326622340463236
oct41643254614404
98204638463701
102324025252100
11816682738632
123164b3430a84
1313b201991186
14806aa722256
15406be9b9a6a
hex21d1ab31904

2324025252100 has 72 divisors (see below), whose sum is σ = 5179945727880. Its totient is φ = 904396446720.

The previous prime is 2324025252091. The next prime is 2324025252103. The reversal of 2324025252100 is 12525204232.

It can be written as a sum of positive squares in 12 ways, for example, as 12117166084 + 2311908086016 = 110078^2 + 1520496^2 .

It is not an unprimeable number, because it can be changed into a prime (2324025252103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47368782 + ... + 47417818.

It is an arithmetic number, because the mean of its divisors is an integer number (71943690665).

Almost surely, 22324025252100 is an apocalyptic number.

2324025252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324025252100 is an abundant number, since it is smaller than the sum of its proper divisors (2855920475780).

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

2324025252100 is a wasteful number, since it uses less digits than its factorization.

2324025252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61897 (or 61890 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 2324025252100 in words is "two trillion, three hundred twenty-four billion, twenty-five million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 12809 25618 49037 51236 64045 98074 128090 196148 245185 256180 320225 473933 490370 640450 947866 980740 1225925 1280900 1814369 1895732 2369665 2451850 3628738 4739330 4903700 7257476 9071845 9478660 11848325 18143690 23696650 36287380 45359225 47393300 90718450 181436900 628114933 1256229866 2512459732 3140574665 6281149330 12562298660 15702873325 23240252521 31405746650 46480505042 62811493300 92961010084 116201262605 232402525210 464805050420 581006313025 1162012626050 2324025252100