Search a number
-
+
301030000102233 = 321937132961357839
BaseRepresentation
bin100010001110010010000001…
…0001110010000101101011001
31110110212012001021212002221200
41010130210002032100231121
5303424033420011232413
62544123134541024413
7120256462013052033
oct10434440216205531
91413765037762850
10301030000102233
1187a10119249236
1229919769b55109
13cbc8012aa012c
145449d03312c53
1524c0733c1e573
hex111c902390b59

301030000102233 has 48 divisors (see below), whose sum is σ = 470081726150400. Its totient is φ = 184983810186240.

The previous prime is 301030000102189. The next prime is 301030000102241. The reversal of 301030000102233 is 332201000030103.

301030000102233 is a `hidden beast` number, since 30 + 1 + 0 + 300 + 0 + 0 + 102 + 233 = 666.

It is not a de Polignac number, because 301030000102233 - 217 = 301029999971161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (301030000102333) 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 47 ways as a sum of consecutive naturals, for example, 841065328 + ... + 841423166.

It is an arithmetic number, because the mean of its divisors is an integer number (9793369294800).

Almost surely, 2301030000102233 is an apocalyptic number.

It is an amenable number.

301030000102233 is a deficient number, since it is larger than the sum of its proper divisors (169051726048167).

301030000102233 is a wasteful number, since it uses less digits than its factorization.

301030000102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490862 (or 490859 counting only the distinct ones).

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

Adding to 301030000102233 its reverse (332201000030103), we get a palindrome (633231000132336).

The spelling of 301030000102233 in words is "three hundred one trillion, thirty billion, one hundred two thousand, two hundred thirty-three".

Divisors: 1 3 9 19 37 57 111 171 333 703 2109 6327 132961 357839 398883 1073517 1196649 2526259 3220551 4919557 6798941 7578777 13240043 14758671 20396823 22736331 39720129 44276013 61190469 93471583 119160387 251560817 280414749 754682451 841244247 2264047353 47578631279 142735893837 428207681511 903993994301 1760409357323 2711981982903 5281228071969 8135945948709 15843684215907 33447777789137 100343333367411 301030000102233