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1042317133 = 111325371149
BaseRepresentation
bin111110001000000…
…111111101001101
32200122022012022021
4332020013331031
54113313122013
6251232250141
734554356314
oct7610077515
92618265267
101042317133
114953a7320
122510a0951
13137c35600
149c60527b
156178ea8d
hex3e207f4d

1042317133 has 48 divisors (see below), whose sum is σ = 1280707200. Its totient is φ = 840403200.

The previous prime is 1042317091. The next prime is 1042317137. The reversal of 1042317133 is 3317132401.

It is a de Polignac number, because none of the positive numbers 2k-1042317133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1042317098 and 1042317107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042317137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6995343 + ... + 6995491.

It is an arithmetic number, because the mean of its divisors is an integer number (26681400).

Almost surely, 21042317133 is an apocalyptic number.

1042317133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1042317133 is a deficient number, since it is larger than the sum of its proper divisors (238390067).

1042317133 is a wasteful number, since it uses less digits than its factorization.

1042317133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 1042317133 is about 32284.9366268543. The cubic root of 1042317133 is about 1013.9112896314.

Adding to 1042317133 its reverse (3317132401), we get a palindrome (4359449534).

It can be divided in two parts, 10423 and 17133, that added together give a square (27556 = 1662).

The spelling of 1042317133 in words is "one billion, forty-two million, three hundred seventeen thousand, one hundred thirty-three".

Divisors: 1 11 13 53 71 143 149 169 583 689 781 923 1639 1859 1937 3763 7579 7897 8957 10153 10579 11999 21307 25181 41393 48919 86867 98527 102661 116369 131989 137527 276991 538109 560687 635947 1129271 1334593 1512797 1787851 6167557 6995417 7288931 14680523 19666361 80178241 94756103 1042317133