Search a number
-
+
2411212104 = 233375330089
BaseRepresentation
bin1000111110111000…
…0010110101001000
320020001010021012000
42033232002311020
514414232241404
61035132351000
7113515651620
oct21756026510
96201107160
102411212104
111028080384
12573615460
132c5713132
1418c33b880
15e1a3d339
hex8fb82d48

2411212104 has 128 divisors (see below), whose sum is σ = 7799328000. Its totient is φ = 675896832.

The previous prime is 2411212103. The next prime is 2411212159. The reversal of 2411212104 is 4012121142.

It is a super-2 number, since 2×24112121042 = 11627887620952213632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2411212103) 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, 65092 + ... + 95180.

It is an arithmetic number, because the mean of its divisors is an integer number (60932250).

Almost surely, 22411212104 is an apocalyptic number.

2411212104 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 2411212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899664000).

2411212104 is an abundant number, since it is smaller than the sum of its proper divisors (5388115896).

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

2411212104 is a wasteful number, since it uses less digits than its factorization.

2411212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30164 (or 30154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2411212104 is about 49104.0945746890. The cubic root of 2411212104 is about 1340.9475929051.

Adding to 2411212104 its reverse (4012121142), we get a palindrome (6423333246).

The spelling of 2411212104 in words is "two billion, four hundred eleven million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 20034 26712 30089 40068 60178 80136 90267 120356 180534 210623 240712 270801 361068 421246 541602 631869 722136 812403 842492 1083204 1263738 1594717 1624806 1684984 1895607 2166408 2527476 3189434 3249612 3791214 4784151 5054952 5686821 6378868 6499224 7582428 9568302 11163019 11373642 12757736 14352453 15164856 19136604 22326038 22747284 28704906 33489057 38273208 43057359 44652076 45494568 57409812 66978114 86114718 89304152 100467171 114819624 133956228 172229436 200934342 267912456 301401513 344458872 401868684 602803026 803737368 1205606052 2411212104