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4330031013 = 347111734013
BaseRepresentation
bin1000000100001011…
…10000011110100101
3102011202201100220000
410002011300132211
532331441443023
61553355331513
7212205441060
oct40205603645
912152640800
104330031013
11192220a430
12a0a150b99
13540105639
142d11038d7
151a5217243
hex1021707a5

4330031013 has 80 divisors (see below), whose sum is σ = 8113032576. Its totient is φ = 2235807360.

The previous prime is 4330031009. The next prime is 4330031021. The reversal of 4330031013 is 3101300334.

4330031013 is a `hidden beast` number, since 43 + 300 + 310 + 13 = 666.

It is not a de Polignac number, because 4330031013 - 22 = 4330031009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330031413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1076995 + ... + 1081007.

Almost surely, 24330031013 is an apocalyptic number.

It is an amenable number.

4330031013 is a deficient number, since it is larger than the sum of its proper divisors (3783001563).

4330031013 is a wasteful number, since it uses less digits than its factorization.

4330031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 4330031013 is about 65802.9711563239. The cubic root of 4330031013 is about 1629.9101676815.

Adding to 4330031013 its reverse (3101300334), we get a palindrome (7431331347).

The spelling of 4330031013 in words is "four billion, three hundred thirty million, thirty-one thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 173 189 231 297 519 567 693 891 1211 1557 1903 2079 3633 4013 4671 5709 6237 10899 12039 13321 14013 17127 28091 32697 36117 39963 44143 51381 84273 98091 108351 119889 132429 154143 252819 309001 325053 359667 397287 694249 758457 927003 1079001 1191861 2082747 2275371 2781009 3575583 4859743 6248241 7636739 8343027 14579229 18744723 22910217 25029081 43737687 53457173 56234169 68730651 131213061 160371519 206191953 393639183 481114557 618575859 1443343671 4330031013