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1001230123131 = 3372756787697
BaseRepresentation
bin11101001000111011111…
…01110100000001111011
310112201100110010011012000
432210131331310001323
5112401004402420011
62043543032152043
7132223262424600
oct16443575640173
93481313104160
101001230123131
1135668a336687
12142065b38623
13735530a9054
14366619786a7
151b09e752356
hexe91df7407b

1001230123131 has 24 divisors (see below), whose sum is σ = 1725475951440. Its totient is φ = 572131498176.

The previous prime is 1001230123097. The next prime is 1001230123177. The reversal of 1001230123131 is 1313210321001.

1001230123131 is a `hidden beast` number, since 100 + 1 + 2 + 301 + 231 + 31 = 666.

It is not a de Polignac number, because 1001230123131 - 225 = 1001196568699 is a prime.

It is a super-2 number, since 2×10012301231312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001230123181) 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, 378392526 + ... + 378395171.

It is an arithmetic number, because the mean of its divisors is an integer number (71894831310).

Almost surely, 21001230123131 is an apocalyptic number.

1001230123131 is a deficient number, since it is larger than the sum of its proper divisors (724245828309).

1001230123131 is an equidigital number, since it uses as much as digits as its factorization.

1001230123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756787720 (or 756787707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001230123131 its reverse (1313210321001), we get a palindrome (2314440444132).

The spelling of 1001230123131 in words is "one trillion, one billion, two hundred thirty million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 756787697 2270363091 5297513879 6811089273 15892541637 20433267819 37082597153 47677624911 111247791459 143032874733 333743374377 1001230123131