Search a number
-
+
30240132122123 = 711432212400751
BaseRepresentation
bin1101110000000110101000…
…10101010100011000001011
310222001221001210122110221222
412320003110111110120023
512430423242310401443
6144152042551552255
76240530443633550
oct670032425243013
9128057053573858
1030240132122123
1196a984a251630
1234848a708b68b
1313b482acc0341
147678b73cca27
15376936632468
hex1b80d455460b

30240132122123 has 24 divisors (see below), whose sum is σ = 38599163859456. Its totient is φ = 23015745270000.

The previous prime is 30240132122111. The next prime is 30240132122131. The reversal of 30240132122123 is 32122123104203.

It is not a de Polignac number, because 30240132122123 - 210 = 30240132121099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30240132122092 and 30240132122101.

It is not an unprimeable number, because it can be changed into a prime (30240132122723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106058003 + ... + 106342748.

It is an arithmetic number, because the mean of its divisors is an integer number (1608298494144).

Almost surely, 230240132122123 is an apocalyptic number.

30240132122123 is a deficient number, since it is larger than the sum of its proper divisors (8359031737333).

30240132122123 is a wasteful number, since it uses less digits than its factorization.

30240132122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212400855 (or 212400812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 30240132122123 its reverse (32122123104203), we get a palindrome (62362255226326).

The spelling of 30240132122123 in words is "thirty trillion, two hundred forty billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 7 11 43 77 301 473 1849 3311 12943 20339 142373 212400751 1486805257 2336408261 9133232293 16354857827 63932626051 100465555223 392728988599 703258886561 2749102920193 4320018874589 30240132122123