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2300033302133 = 72937397731091
BaseRepresentation
bin100001011110000100101…
…010101111111001110101
322010212210021102210122112
4201132010222233321311
5300140432011132013
64520342023540405
7325112653331240
oct41360452577165
98125707383575
102300033302133
11807490923506
123119185ba705
13138b7a252c88
147d4721c0257
153ec68568ba8
hex21784aafe75

2300033302133 has 32 divisors (see below), whose sum is σ = 2729419925760. Its totient is φ = 1896368624640.

The previous prime is 2300033302117. The next prime is 2300033302153. The reversal of 2300033302133 is 3312033300032.

It is not a de Polignac number, because 2300033302133 - 24 = 2300033302117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300033302099 and 2300033302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300033302153) 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 31 ways as a sum of consecutive naturals, for example, 73961918 + ... + 73993008.

It is an arithmetic number, because the mean of its divisors is an integer number (85294372680).

Almost surely, 22300033302133 is an apocalyptic number.

It is an amenable number.

2300033302133 is a deficient number, since it is larger than the sum of its proper divisors (429386623627).

2300033302133 is a wasteful number, since it uses less digits than its factorization.

2300033302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32477.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 2300033302133 its reverse (3312033300032), we get a palindrome (5612066602165).

The spelling of 2300033302133 in words is "two trillion, three hundred billion, thirty-three million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 7 29 203 373 977 2611 6839 10817 28333 31091 75719 198331 217637 364421 901639 2550947 6311473 10568209 11596943 30375907 73977463 81178601 212631349 336311347 880901303 2354179429 6166309121 11330213311 79311493177 328576186019 2300033302133