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31144123120203 = 35294419486749
BaseRepresentation
bin1110001010011010011100…
…11001010011101001001011
311002021100102111012021100000
413011031032121103221023
513040231131004321303
6150123225044214043
76363042255426162
oct705151631235113
9132240374167300
1031144123120203
119a1816a637345
1235abb3399a323
13144bb55568672
147995528643d9
153901e4206da3
hex1c534e653a4b

31144123120203 has 24 divisors (see below), whose sum is σ = 48260795310000. Its totient is φ = 20046791888928.

The previous prime is 31144123120157. The next prime is 31144123120207. The reversal of 31144123120203 is 30202132144113.

31144123120203 is a `hidden beast` number, since 3 + 1 + 1 + 441 + 2 + 3 + 12 + 0 + 203 = 666.

It is not a de Polignac number, because 31144123120203 - 26 = 31144123120139 is a prime.

It is a super-2 number, since 2×311441231202032 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31144123120207) 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 23 ways as a sum of consecutive naturals, for example, 2209736328 + ... + 2209750421.

It is an arithmetic number, because the mean of its divisors is an integer number (2010866471250).

Almost surely, 231144123120203 is an apocalyptic number.

31144123120203 is a deficient number, since it is larger than the sum of its proper divisors (17116672189797).

31144123120203 is an equidigital number, since it uses as much as digits as its factorization.

31144123120203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419486793 (or 4419486781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31144123120203 its reverse (30202132144113), we get a palindrome (61346255264316).

The spelling of 31144123120203 in words is "thirty-one trillion, one hundred forty-four billion, one hundred twenty-three million, one hundred twenty thousand, two hundred three".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 4419486749 13258460247 39775380741 119326142223 128165115721 357978426669 384495347163 1073935280007 1153486041489 3460458124467 10381374373401 31144123120203