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2311114104 = 23321315715727
BaseRepresentation
bin1000100111000000…
…1100110101111000
312222001202202112200
42021300030311320
514213121122404
61021155110200
7111162100665
oct21160146570
95861682480
102311114104
11a86622262
12545ba2360
132aaa66b50
1417cd22a6c
15d7d69839
hex89c0cd78

2311114104 has 96 divisors (see below), whose sum is σ = 6784115520. Its totient is φ = 706537728.

The previous prime is 2311114097. The next prime is 2311114109. The reversal of 2311114104 is 4014111132.

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 (2311114109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139089 + ... + 154815.

It is an arithmetic number, because the mean of its divisors is an integer number (70667870).

Almost surely, 22311114104 is an apocalyptic number.

2311114104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392057760).

2311114104 is an abundant number, since it is smaller than the sum of its proper divisors (4473001416).

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

2311114104 is a wasteful number, since it uses less digits than its factorization.

2311114104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909 (or 15902 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2311114104 is about 48074.0481341025. The cubic root of 2311114104 is about 1322.1288925057.

Adding to 2311114104 its reverse (4014111132), we get a palindrome (6325225236).

The spelling of 2311114104 in words is "two billion, three hundred eleven million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 468 471 628 936 942 1256 1413 1884 2041 2826 3768 4082 5652 6123 8164 11304 12246 15727 16328 18369 24492 31454 36738 47181 48984 62908 73476 94362 125816 141543 146952 188724 204451 283086 377448 408902 566172 613353 817804 1132344 1226706 1635608 1840059 2453412 2469139 3680118 4906824 4938278 7360236 7407417 9876556 14720472 14814834 19753112 22222251 29629668 32098807 44444502 59259336 64197614 88889004 96296421 128395228 177778008 192592842 256790456 288889263 385185684 577778526 770371368 1155557052 2311114104