Search a number
-
+
312210031133 = 711131776124109
BaseRepresentation
bin1001000101100010010…
…10110000001000011101
31002211212110020212122102
410202301022300020131
520103401231444013
6355232144254445
731361566322630
oct4426112601035
91084773225572
10312210031133
11110453472420
1250612611425
13235976504c0
141117a9d3c17
1581c45bad58
hex48b12b021d

312210031133 has 64 divisors (see below), whose sum is σ = 444451069440. Its totient is φ = 211070361600.

The previous prime is 312210031129. The next prime is 312210031139. The reversal of 312210031133 is 331130012213.

It is not a de Polignac number, because 312210031133 - 22 = 312210031129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210031139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12937883 + ... + 12961991.

It is an arithmetic number, because the mean of its divisors is an integer number (6944547960).

Almost surely, 2312210031133 is an apocalyptic number.

It is an amenable number.

312210031133 is a deficient number, since it is larger than the sum of its proper divisors (132241038307).

312210031133 is a wasteful number, since it uses less digits than its factorization.

312210031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24918.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312210031133 its reverse (331130012213), we get a palindrome (643340043346).

The spelling of 312210031133 in words is "three hundred twelve billion, two hundred ten million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 761 1001 1309 1547 2431 5327 8371 9893 12937 17017 24109 58597 69251 90559 108823 142307 168181 168763 265199 313417 409853 761761 996149 1177267 1849991 1856393 2193919 2868971 3447587 4508383 5328089 12949937 18346949 24133109 31558681 37296623 58608979 128428643 201816439 238510337 311898133 410262853 1412715073 1669572359 2183286931 2623613707 3430879463 4054675729 18365295949 24016156241 28382730103 44601433019 312210031133