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2311023312 = 24361315241
BaseRepresentation
bin1000100110111111…
…0110101011010000
312222001121011000000
42021233312223100
514213110221222
61021153130000
7111161242203
oct21157665320
95861534000
102311023312
11a86570024
12545b59900
132aaa34720
1417ccdb93a
15d7d4c9ac
hex89bf6ad0

2311023312 has 140 divisors (see below), whose sum is σ = 7230225604. Its totient is φ = 711037440.

The previous prime is 2311023307. The next prime is 2311023317. The reversal of 2311023312 is 2133201132.

2311023312 is a `hidden beast` number, since 231 + 102 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2311023307) and next prime (2311023317).

It can be written as a sum of positive squares in 2 ways, for example, as 1063803456 + 1247219856 = 32616^2 + 35316^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311023317) 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 27 ways as a sum of consecutive naturals, for example, 144012 + ... + 159252.

Almost surely, 22311023312 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 2311023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615112802).

2311023312 is an abundant number, since it is smaller than the sum of its proper divisors (4919202292).

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

2311023312 is a wasteful number, since it uses less digits than its factorization.

2311023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2311023312 is about 48073.1038315605. The cubic root of 2311023312 is about 1322.1115790235. Note that the first 3 decimals are identical.

Adding to 2311023312 its reverse (2133201132), we get a palindrome (4444224444).

The spelling of 2311023312 in words is "two billion, three hundred eleven million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 15241 16848 18954 25272 30482 37908 45723 50544 60964 75816 91446 121928 137169 151632 182892 198133 243856 274338 365784 396266 411507 548676 594399 731568 792532 823014 1097352 1188798 1234521 1585064 1646028 1783197 2194704 2377596 2469042 3170128 3292056 3566394 3703563 4755192 4938084 5349591 6584112 7132788 7407126 9510384 9876168 10699182 11110689 14265576 14814252 16048773 19752336 21398364 22221378 28531152 29628504 32097546 42796728 44442756 48146319 59257008 64195092 85593456 88885512 96292638 128390184 144438957 177771024 192585276 256780368 288877914 385170552 577755828 770341104 1155511656 2311023312