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2312122313133 = 3214912569137177
BaseRepresentation
bin100001101001010101001…
…110101010100110101101
322012000222210001012010200
4201221111032222212231
5300340211303010013
64530101353224113
7326021355251253
oct41512516524655
98160883035120
102312122313133
11811624850396
12314131102039
1313a055981519
147dc9b96c5d3
1540224a1ce73
hex21a553aa9ad

2312122313133 has 24 divisors (see below), whose sum is σ = 3362438547000. Its totient is φ = 1530936835584.

The previous prime is 2312122313119. The next prime is 2312122313167. The reversal of 2312122313133 is 3313132212132.

2312122313133 is a `hidden beast` number, since 2 + 3 + 1 + 212 + 2 + 313 + 133 = 666.

2312122313133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 681858108009 + 1630264205124 = 825747^2 + 1276818^2 .

It is not a de Polignac number, because 2312122313133 - 26 = 2312122313069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2312122313097 and 2312122313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312122313833) 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, 16786441 + ... + 16923617.

It is an arithmetic number, because the mean of its divisors is an integer number (140101606125).

Almost surely, 22312122313133 is an apocalyptic number.

It is an amenable number.

2312122313133 is a deficient number, since it is larger than the sum of its proper divisors (1050316233867).

2312122313133 is a wasteful number, since it uses less digits than its factorization.

2312122313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149901 (or 149898 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2312122313133 its reverse (3313132212132), we get a palindrome (5625254525265).

The spelling of 2312122313133 in words is "two trillion, three hundred twelve billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 149 447 1341 12569 37707 113121 137177 411531 1234593 1872781 5618343 16855029 20439373 61318119 183954357 1724177713 5172533139 15517599417 256902479237 770707437711 2312122313133