Search a number
-
+
12131580411 = 332943794561
BaseRepresentation
bin10110100110001100…
…10011100111111011
31011022110201010202000
423103012103213323
5144321141033121
65323445512043
7606426506046
oct132306234773
934273633660
1012131580411
115165a62a15
122426a12623
1311b44b4762
148312adc5d
154b00b2526
hex2d31939fb

12131580411 has 64 divisors (see below), whose sum is σ = 19269888000. Its totient is φ = 7529034240.

The previous prime is 12131580403. The next prime is 12131580421. The reversal of 12131580411 is 11408513121.

12131580411 is a `hidden beast` number, since 12 + 1 + 31 + 580 + 41 + 1 = 666.

It is not a de Polignac number, because 12131580411 - 23 = 12131580403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12131580421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2657571 + ... + 2662131.

It is an arithmetic number, because the mean of its divisors is an integer number (301092000).

Almost surely, 212131580411 is an apocalyptic number.

12131580411 is a deficient number, since it is larger than the sum of its proper divisors (7138307589).

12131580411 is a wasteful number, since it uses less digits than its factorization.

12131580411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 12131580411 in words is "twelve billion, one hundred thirty-one million, five hundred eighty thousand, four hundred eleven".

Divisors: 1 3 9 27 29 43 79 87 129 237 261 387 711 783 1161 1247 2133 2291 3397 3741 4561 6873 10191 11223 13683 20619 30573 33669 41049 61857 91719 98513 123147 132269 196123 295539 360319 396807 588369 886617 1080957 1190421 1765107 2659851 3242871 3571263 5295321 5687567 9728613 10449251 15493717 17062701 31347753 46481151 51188103 94043259 139443453 153564309 282129777 418330359 449317793 1347953379 4043860137 12131580411