Search a number
-
+
30100031300313 = 32131731247335051
BaseRepresentation
bin1101101100000001101011…
…01011000110001011011001
310221120112102221020022200200
412312000311223012023121
512421124331003102223
6144003432525052413
76224440556410242
oct666006553061331
9127515387208620
1030100031300313
119655395a65587
1234617076b7109
1313a456158a790
14760bc6637cc9
15372e86b47a43
hex1b6035ac62d9

30100031300313 has 144 divisors (see below), whose sum is σ = 52317453097728. Its totient is φ = 16512121728000.

The previous prime is 30100031300267. The next prime is 30100031300321. The reversal of 30100031300313 is 31300313000103.

30100031300313 is a `hidden beast` number, since 30 + 10 + 0 + 0 + 313 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 30100031300313 - 26 = 30100031300249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30100031300323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89669638 + ... + 90004688.

It is an arithmetic number, because the mean of its divisors is an integer number (363315646512).

Almost surely, 230100031300313 is an apocalyptic number.

It is an amenable number.

30100031300313 is a deficient number, since it is larger than the sum of its proper divisors (22217421797415).

30100031300313 is a wasteful number, since it uses less digits than its factorization.

30100031300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335196 (or 335162 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30100031300313 its reverse (31300313000103), we get a palindrome (61400344300416).

The spelling of 30100031300313 in words is "thirty trillion, one hundred billion, thirty-one million, three hundred thousand, three hundred thirteen".

Divisors: 1 3 9 13 17 31 39 47 51 93 117 141 153 221 279 403 423 527 611 663 799 961 1209 1457 1581 1833 1989 2397 2883 3627 4371 4743 5499 6851 7191 8649 10387 12493 13113 16337 18941 20553 24769 31161 37479 45167 49011 56823 61659 74307 93483 112437 135501 147033 170469 212381 222921 321997 335051 406503 587171 637143 767839 965991 1005153 1761513 1911429 2303517 2897973 3015459 4355663 5284539 5695867 6910551 9981907 10386581 13066989 15747397 17087601 29945721 31159743 39200967 47242191 51262803 74046271 89837163 93479229 135025553 141726573 176571877 204716161 222138813 267705749 321984011 405076659 488169307 529715631 614148483 666416439 803117247 965952033 1215229977 1464507921 1589146893 1842445449 2295434401 2409351741 2897856099 3480174737 4185792143 4393523763 5473728187 6346200991 6886303203 8298878219 10440524211 12557376429 15133248517 16421184561 19038602973 20658909609 24896634657 31321572633 37672129287 45399745551 49263553683 57115808919 71158466431 74689903971 107885416847 136199236653 196732230721 213475399293 257265224789 323656250541 590196692163 640426197879 771795674367 970968751623 1770590076489 2315387023101 3344447922257 10033343766771 30100031300313