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2304113221233 = 321931659965867
BaseRepresentation
bin100001100001110111110…
…110011001111001110001
322011021022121112011111100
4201201313312121321301
5300222310441034413
64522254530435013
7325316034143145
oct41416766317161
98137277464440
102304113221233
1180919493307a
12312676a32a69
1313937a5a6ca5
147d73bdb9225
153ee06828a73
hex21877d99e71

2304113221233 has 48 divisors (see below), whose sum is σ = 3616943616000. Its totient is φ = 1408051732320.

The previous prime is 2304113221217. The next prime is 2304113221321. The reversal of 2304113221233 is 3321223114032.

2304113221233 is a `hidden beast` number, since 2 + 3 + 0 + 411 + 3 + 2 + 212 + 33 = 666.

It is not a de Polignac number, because 2304113221233 - 24 = 2304113221217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2304113221197 and 2304113221206.

It is not an unprimeable number, because it can be changed into a prime (2304113221213) 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 47 ways as a sum of consecutive naturals, for example, 34948366 + ... + 35014232.

It is an arithmetic number, because the mean of its divisors is an integer number (75352992000).

Almost surely, 22304113221233 is an apocalyptic number.

It is an amenable number.

2304113221233 is a deficient number, since it is larger than the sum of its proper divisors (1312830394767).

2304113221233 is a wasteful number, since it uses less digits than its factorization.

2304113221233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72522 (or 72519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2304113221233 its reverse (3321223114032), we get a palindrome (5625336335265).

The spelling of 2304113221233 in words is "two trillion, three hundred four billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 5301 6599 19797 59391 65867 125381 197601 204569 376143 592803 613707 1128429 1251473 1841121 2041877 3754419 3886811 6125631 11263257 11660433 18376893 34981299 38795663 116386989 349160967 434656333 1303968999 3911906997 8258470327 13474346323 24775410981 40423038969 74326232943 121269116907 256012580137 768037740411 2304113221233