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1001124331401 = 317293173299113
BaseRepresentation
bin11101001000101111010…
…10001111111110001001
310112201002002001101012210
432210113222033332021
5112400300312101101
62043524332455333
7132220536261105
oct16442752177611
93481062041183
101001124331401
113566356497a7
1214203661a549
13735371b82ac
14366518ba905
151b0953067d6
hexe917a8ff89

1001124331401 has 64 divisors (see below), whose sum is σ = 1529932216320. Its totient is φ = 578889400320.

The previous prime is 1001124331397. The next prime is 1001124331411. The reversal of 1001124331401 is 1041334211001.

It is not a de Polignac number, because 1001124331401 - 22 = 1001124331397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001124331411) 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 63 ways as a sum of consecutive naturals, for example, 3197421 + ... + 3496533.

It is an arithmetic number, because the mean of its divisors is an integer number (23905190880).

Almost surely, 21001124331401 is an apocalyptic number.

It is an amenable number.

1001124331401 is a deficient number, since it is larger than the sum of its proper divisors (528807884919).

1001124331401 is a wasteful number, since it uses less digits than its factorization.

1001124331401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299266.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1001124331401 its reverse (1041334211001), we get a palindrome (2042458542402).

The spelling of 1001124331401 in words is "one trillion, one billion, one hundred twenty-four million, three hundred thirty-one thousand, four hundred one".

Divisors: 1 3 17 29 31 51 73 87 93 219 493 527 899 1241 1479 1581 2117 2263 2697 3723 6351 6789 15283 35989 38471 45849 65627 107967 115413 196881 299113 897339 1115659 3346977 5084921 8674277 9272503 15254763 21835249 26022831 27817509 65505747 147462709 157632551 268902587 371199233 442388127 472897653 633222221 676892719 806707761 1113597699 1899666663 2030678157 4571343979 10764777757 11507176223 13714031937 19629888851 32294333271 34521528669 58889666553 333708110467 1001124331401