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3300103133223 = 3131745775114503
BaseRepresentation
bin110000000001011101011…
…110011001100000100111
3102200111010212021000101020
4300001131132121200213
5413032102400230343
611004014011102223
7460265426541411
oct60013536314047
912614125230336
103300103133223
111062625204546
124536b9a41973
131ac276b2b490
14b5a23a039b1
155ac9aec5b83
hex3005d799827

3300103133223 has 64 divisors (see below), whose sum is σ = 5035372941312. Its totient is φ = 1904518656000.

The previous prime is 3300103133141. The next prime is 3300103133231. The reversal of 3300103133223 is 3223313010033.

It is not a de Polignac number, because 3300103133223 - 234 = 3282923264039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3300103133193 and 3300103133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300103133263) 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 63 ways as a sum of consecutive naturals, for example, 227538990 + ... + 227553492.

It is an arithmetic number, because the mean of its divisors is an integer number (78677702208).

Almost surely, 23300103133223 is an apocalyptic number.

3300103133223 is a deficient number, since it is larger than the sum of its proper divisors (1735269808089).

3300103133223 is a wasteful number, since it uses less digits than its factorization.

3300103133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 3300103133223 its reverse (3223313010033), we get a palindrome (6523416143256).

The spelling of 3300103133223 in words is "three trillion, three hundred billion, one hundred three million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 13 17 39 51 221 457 663 751 1371 2253 5941 7769 9763 12767 14503 17823 23307 29289 38301 43509 100997 165971 188539 246551 302991 343207 497913 565617 739653 1029621 3205163 4461691 5834519 6627871 9615489 10891753 13385073 17503557 19883613 32675259 75848747 86162323 112673807 141592789 185159801 227546241 258486969 338021421 424778367 555479403 1464759491 2407077413 4394278473 4977531121 7221232239 14932593363 64707904573 84618029057 194123713719 253854087171 1100034377741 3300103133223