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2301310123100 = 2252191679317737
BaseRepresentation
bin100001011111010000110…
…001011011110001011100
322011000002021000000201222
4201133100301123301130
5300201040342414400
64521112434352512
7325156416202322
oct41372061336134
98130067000658
102301310123100
11807a86629a4a
1231201412b738
13139021933841
147d5539c9d12
153ece06cb185
hex217d0c5bc5c

2301310123100 has 72 divisors (see below), whose sum is σ = 5021010801408. Its totient is φ = 915518131200.

The previous prime is 2301310123093. The next prime is 2301310123103. The reversal of 2301310123100 is 13210131032.

2301310123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23013101231002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301310123103) 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, 129737432 + ... + 129755168.

Almost surely, 22301310123100 is an apocalyptic number.

2301310123100 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 2301310123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510505400704).

2301310123100 is an abundant number, since it is smaller than the sum of its proper divisors (2719700678308).

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

2301310123100 is a wasteful number, since it uses less digits than its factorization.

2301310123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24735 (or 24728 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2301310123100 its reverse (13210131032), we get a palindrome (2314520254132).

The spelling of 2301310123100 in words is "two trillion, three hundred one billion, three hundred ten million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 6793 9550 13586 17737 19100 27172 33965 35474 67930 70948 88685 135860 169825 177370 339650 354740 443425 679300 886850 1297463 1773700 2594926 3387767 5189852 6487315 6775534 12974630 13551068 16938835 25949260 32436575 33877670 64873150 67755340 84694175 120487441 129746300 169388350 240974882 338776700 481949764 602437205 1204874410 2409748820 3012186025 6024372050 12048744100 23013101231 46026202462 92052404924 115065506155 230131012310 460262024620 575327530775 1150655061550 2301310123100