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2300311332312 = 2337127239451103
BaseRepresentation
bin100001011110010101001…
…111010110010111011000
322010220111122121012100120
4201132111033112113120
5300142014200113222
64520425355033240
7325122600465660
oct41362517262730
98126448535316
102300311332312
11807613861714
1231199573b820
13138bc2a2ab86
147d49b0b51a0
153ec82b8815c
hex217953d65d8

2300311332312 has 128 divisors (see below), whose sum is σ = 6651799142400. Its totient is φ = 649327045248.

The previous prime is 2300311332311. The next prime is 2300311332373. The reversal of 2300311332312 is 2132331130032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300311332311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873753 + ... + 5324855.

It is an arithmetic number, because the mean of its divisors is an integer number (51967180800).

Almost surely, 22300311332312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300311332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325899571200).

2300311332312 is an abundant number, since it is smaller than the sum of its proper divisors (4351487810088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2300311332312 is a wasteful number, since it uses less digits than its factorization.

2300311332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451485 (or 451481 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2300311332312 its reverse (2132331130032), we get a palindrome (4432642462344).

The spelling of 2300311332312 in words is "two trillion, three hundred billion, three hundred eleven million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 239 254 381 478 508 717 762 889 956 1016 1434 1524 1673 1778 1912 2667 2868 3048 3346 3556 5019 5334 5736 6692 7112 10038 10668 13384 20076 21336 30353 40152 60706 91059 121412 182118 212471 242824 364236 424942 451103 637413 728472 849884 902206 1274826 1353309 1699768 1804412 2549652 2706618 3157721 3608824 5099304 5413236 6315442 9473163 10826472 12630884 18946326 25261768 37892652 57290081 75785304 107813617 114580162 171870243 215627234 229160324 323440851 343740486 401030567 431254468 458320648 646881702 687480972 754695319 802061134 862508936 1203091701 1293763404 1374961944 1509390638 1604122268 2264085957 2406183402 2587526808 3018781276 3208244536 4528171914 4812366804 6037562552 9056343828 9624733608 13692329359 18112687656 27384658718 41076988077 54769317436 82153976154 95846305513 109538634872 164307952308 191692611026 287538916539 328615904616 383385222052 575077833078 766770444104 1150155666156 2300311332312