Search a number
-
+
130030213113 = 3419473315431
BaseRepresentation
bin111100100011001100…
…1111001011111111001
3110102122000210020020000
41321012121321133321
54112300213304423
6135422434423213
712252161401143
oct1710631713771
9412560706200
10130030213113
1150166735749
122124aa31b09
13c353222808
1464174d1c93
1535b0830843
hex1e466797f9

130030213113 has 80 divisors (see below), whose sum is σ = 209485731840. Its totient is φ = 80119432800.

The previous prime is 130030213109. The next prime is 130030213129. The reversal of 130030213113 is 311312030031.

It is a happy number.

130030213113 is a `hidden beast` number, since 1 + 300 + 30 + 21 + 311 + 3 = 666.

It is not a de Polignac number, because 130030213113 - 22 = 130030213109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130030213193) 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 79 ways as a sum of consecutive naturals, for example, 23939508 + ... + 23944938.

It is an arithmetic number, because the mean of its divisors is an integer number (2618571648).

Almost surely, 2130030213113 is an apocalyptic number.

It is an amenable number.

130030213113 is a deficient number, since it is larger than the sum of its proper divisors (79455518727).

130030213113 is a wasteful number, since it uses less digits than its factorization.

130030213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130030213113 its reverse (311312030031), we get a palindrome (441342243144).

The spelling of 130030213113 in words is "one hundred thirty billion, thirty million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 19 27 47 57 81 141 171 331 423 513 893 993 1269 1539 2679 2979 3807 5431 6289 8037 8937 15557 16293 18867 24111 26811 46671 48879 56601 72333 103189 140013 146637 169803 255257 295583 309567 420039 439911 509409 765771 886749 928701 1260117 1797661 2297313 2660247 2786103 4849883 5392983 6891939 7980741 8358309 14549649 16178949 20675817 23942223 34155559 43648947 48536847 84490067 102466677 130946841 145610541 253470201 307400031 392840523 760410603 922200093 1605311273 2281231809 2766600279 4815933819 6843695427 14447801457 43343404371 130030213113