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1200011330331 = 321128147135257
BaseRepresentation
bin10001011101100110001…
…111111100001100011011
311020201102212000202021100
4101131212033330030123
5124130110400032311
62315135543242443
7152461254003042
oct21354617741433
94221385022240
101200011330331
11422a16125800
121746a1449423
1389211a53c48
144211bc37559
1521335bc7a56
hex117663fc31b

1200011330331 has 36 divisors (see below), whose sum is σ = 1905500096136. Its totient is φ = 727184948160.

The previous prime is 1200011330327. The next prime is 1200011330333. The reversal of 1200011330331 is 1330331100021.

It is a happy number.

1200011330331 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 1 + 1 + 330 + 331 = 666.

It is not a de Polignac number, because 1200011330331 - 22 = 1200011330327 is a prime.

It is a super-2 number, since 2×12000113303312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1200011330333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8804455 + ... + 8939711.

It is an arithmetic number, because the mean of its divisors is an integer number (52930558226).

Almost surely, 21200011330331 is an apocalyptic number.

1200011330331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1200011330331 is a deficient number, since it is larger than the sum of its proper divisors (705488765805).

1200011330331 is a wasteful number, since it uses less digits than its factorization.

1200011330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143432 (or 143418 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1200011330331 its reverse (1330331100021), we get a palindrome (2530342430352).

The spelling of 1200011330331 in words is "one trillion, two hundred billion, eleven million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 8147 24441 73323 89617 135257 268851 405771 806553 985787 1217313 1487827 2957361 4463481 8872083 13390443 16366097 49098291 147294873 1101938779 3305816337 9917449011 12121326569 36363979707 109091939121 133334592259 400003776777 1200011330331