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1301111132121 = 32373907240637
BaseRepresentation
bin10010111011110000010…
…001000100111111011001
311121101101200010210221200
4102323300101010333121
5132304133422211441
62433415555024413
7163000514100543
oct22736021047731
94541350123850
101301111132121
114618863501a9
121901b759b109
1395904375078
1446d8cd84693
1523ca17597b6
hex12ef0444fd9

1301111132121 has 12 divisors (see below), whose sum is σ = 1930176875172. Its totient is φ = 843963977376.

The previous prime is 1301111132107. The next prime is 1301111132177. The reversal of 1301111132121 is 1212311111031.

1301111132121 is a `hidden beast` number, since 1 + 301 + 11 + 11 + 321 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1235298873600 + 65812258521 = 1111440^2 + 256539^2 .

It is not a de Polignac number, because 1301111132121 - 210 = 1301111131097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1301111132094 and 1301111132103.

It is not an unprimeable number, because it can be changed into a prime (1301111132021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953619986 + ... + 1953620651.

It is an arithmetic number, because the mean of its divisors is an integer number (160848072931).

Almost surely, 21301111132121 is an apocalyptic number.

It is an amenable number.

1301111132121 is a deficient number, since it is larger than the sum of its proper divisors (629065743051).

1301111132121 is a wasteful number, since it uses less digits than its factorization.

1301111132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907240680 (or 3907240677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1301111132121 its reverse (1212311111031), we get a palindrome (2513422243152).

The spelling of 1301111132121 in words is "one trillion, three hundred one billion, one hundred eleven million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 3907240637 11721721911 35165165733 144567903569 433703710707 1301111132121