Search a number
-
+
2300112342 = 2331117379601
BaseRepresentation
bin1000100100011000…
…1110110111010110
312221022001210222000
42021012032313112
514202312043332
61020123220130
7110666426613
oct21106166726
95838053860
102300112342
11a803984a0
12542377646
132a86b4328
1417b69b50a
15d6de4b7c
hex8918edd6

2300112342 has 128 divisors (see below), whose sum is σ = 5929459200. Its totient is φ = 653184000.

The previous prime is 2300112323. The next prime is 2300112361. The reversal of 2300112342 is 2432110032.

2300112342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2300112323) and next prime (2300112361).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3826842 + ... + 3827442.

It is an arithmetic number, because the mean of its divisors is an integer number (46323900).

Almost surely, 22300112342 is an apocalyptic number.

2300112342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300112342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964729600).

2300112342 is an abundant number, since it is smaller than the sum of its proper divisors (3629346858).

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

2300112342 is a wasteful number, since it uses less digits than its factorization.

2300112342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2300112342 is about 47959.4864651406. The cubic root of 2300112342 is about 1320.0276130587.

Adding to 2300112342 its reverse (2432110032), we get a palindrome (4732222374).

The spelling of 2300112342 in words is "two billion, three hundred million, one hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 379 459 561 594 601 758 918 1122 1137 1202 1683 1803 2274 3366 3411 3606 4169 5049 5409 6443 6611 6822 8338 10098 10217 10233 10818 12507 12886 13222 16227 19329 19833 20434 20466 25014 30651 32454 37521 38658 39666 57987 59499 61302 70873 75042 91953 112387 112563 115974 118998 141746 173961 178497 183906 212619 224774 225126 227779 275859 337161 347922 356994 425238 455558 551718 637857 674322 683337 1011483 1275714 1366674 1913571 2022966 2050011 2505569 3034449 3827142 3872243 4100022 5011138 6068898 6150033 7516707 7744486 11616729 12300066 15033414 22550121 23233458 34850187 42594673 45100242 67650363 69700374 85189346 104550561 127784019 135300726 209101122 255568038 383352057 766704114 1150056171 2300112342