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2300131242 = 234314111171
BaseRepresentation
bin1000100100011001…
…0011011110101010
312221022002202220000
42021012103132222
514202313144432
61020123443430
7110666535663
oct21106233652
95838082800
102300131242
11a80400712
12542386576
132a86bcb06
1417b6a436a
15d6dea57c
hex891937aa

2300131242 has 80 divisors (see below), whose sum is σ = 5450505984. Its totient is φ = 723816000.

The previous prime is 2300131237. The next prime is 2300131291. The reversal of 2300131242 is 2421310032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200317 + ... + 211487.

Almost surely, 22300131242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300131242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725252992).

2300131242 is an abundant number, since it is smaller than the sum of its proper divisors (3150374742).

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

2300131242 is a wasteful number, since it uses less digits than its factorization.

2300131242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257 (or 11248 counting only the distinct ones).

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

The square root of 2300131242 is about 47959.6835060449. The cubic root of 2300131242 is about 1320.0312286000.

Adding to 2300131242 its reverse (2421310032), we get a palindrome (4721441274).

The spelling of 2300131242 in words is "two billion, three hundred million, one hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 81 82 93 123 162 186 246 279 369 558 738 837 1107 1271 1674 2214 2511 2542 3321 3813 5022 6642 7626 11171 11439 22342 22878 33513 34317 67026 68634 100539 102951 201078 205902 301617 346301 458011 603234 692602 904851 916022 1038903 1374033 1809702 2077806 2748066 3116709 4122099 6233418 8244198 9350127 12366297 14198341 18700254 24732594 28050381 28396682 37098891 42595023 56100762 74197782 85190046 127785069 255570138 383355207 766710414 1150065621 2300131242