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23268182301 = 3271367424037
BaseRepresentation
bin10101101010111001…
…000100100100011101
32020001121012010112200
4111222321010210131
5340123123313201
614404513522113
71452415200120
oct255271044435
966047163480
1023268182301
119960311831
124614573339
13226a7c9810
1411aa37c3b7
15912b36386
hex56ae4491d

23268182301 has 48 divisors (see below), whose sum is σ = 41983154304. Its totient is φ = 12090114432.

The previous prime is 23268182291. The next prime is 23268182309. The reversal of 23268182301 is 10328186232.

It is not a de Polignac number, because 23268182301 - 217 = 23268051229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268182309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157146 + ... + 266891.

It is an arithmetic number, because the mean of its divisors is an integer number (874649048).

Almost surely, 223268182301 is an apocalyptic number.

23268182301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23268182301 is a deficient number, since it is larger than the sum of its proper divisors (18714972003).

23268182301 is a wasteful number, since it uses less digits than its factorization.

23268182301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424130 (or 424127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23268182301 in words is "twenty-three billion, two hundred sixty-eight million, one hundred eighty-two thousand, three hundred one".

Divisors: 1 3 7 9 13 21 39 63 67 91 117 201 273 469 603 819 871 1407 2613 4221 6097 7839 18291 54873 424037 1272111 2968259 3816333 5512481 8904777 16537443 26714331 28410479 38587367 49612329 85231437 115762101 198873353 255694311 347286303 369336227 596620059 1108008681 1789860177 2585353589 3324026043 7756060767 23268182301