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2300031121100 = 2252177731750271
BaseRepresentation
bin100001011110000100100…
…010011011011011001100
322010212210010022222211112
4201132010202123123030
5300140430431333400
64520341505111152
7325112625645446
oct41360442333314
98125703288745
102300031121100
1180748a6738a9
123119179284b8
13138b7996b31b
147d471bb3496
153ec68287835
hex2178489b6cc

2300031121100 has 72 divisors (see below), whose sum is σ = 5291499322368. Its totient is φ = 864773401600.

The previous prime is 2300031121099. The next prime is 2300031121103. The reversal of 2300031121100 is 11211300032.

It is not an unprimeable number, because it can be changed into a prime (2300031121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438965 + ... + 2189235.

It is an arithmetic number, because the mean of its divisors is an integer number (73493046144).

Almost surely, 22300031121100 is an apocalyptic number.

2300031121100 is a gapful number since it is divisible by the number (20) 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 2300031121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645749661184).

2300031121100 is an abundant number, since it is smaller than the sum of its proper divisors (2991468201268).

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

2300031121100 is a wasteful number, since it uses less digits than its factorization.

2300031121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751075 (or 1751068 counting only the distinct ones).

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

Adding to 2300031121100 its reverse (11211300032), we get a palindrome (2311242421132).

The spelling of 2300031121100 in words is "two trillion, three hundred billion, thirty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 773 850 1546 1700 3092 3865 7730 13141 15460 19325 26282 38650 52564 65705 77300 131410 262820 328525 657050 1314100 1750271 3500542 7001084 8751355 17502710 29754607 35005420 43756775 59509214 87513550 119018428 148773035 175027100 297546070 595092140 743865175 1352959483 1487730350 2705918966 2975460700 5411837932 6764797415 13529594830 23000311211 27059189660 33823987075 46000622422 67647974150 92001244844 115001556055 135295948300 230003112110 460006224220 575007780275 1150015560550 2300031121100