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131652224712 = 23326127012
BaseRepresentation
bin111101010011100010…
…1011000011011001000
3110120211001212221211200
41322213011120123020
54124110432142322
6140251420024200
712340315306011
oct1724705303310
9416731787750
10131652224712
1150919280aa8
1221622092060
13c5512944a8
14652cab6008
153657e2b8ac
hex1ea71586c8

131652224712 has 108 divisors (see below), whose sum is σ = 363017001555. Its totient is φ = 43103088000.

The previous prime is 131652224699. The next prime is 131652224713. The reversal of 131652224712 is 217422256131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131652224712 is a `hidden beast` number, since 1 + 3 + 165 + 2 + 22 + 471 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 40355184996 + 91297039716 = 200886^2 + 302154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256566.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131652224713) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187805962 + ... + 187806662.

Almost surely, 2131652224712 is an apocalyptic number.

131652224712 is a gapful number since it is divisible by the number (12) 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 131652224712

131652224712 is an abundant number, since it is smaller than the sum of its proper divisors (231364776843).

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

131652224712 is an frugal number, since it uses more digits than its factorization.

131652224712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 767 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 131652224712 in words is "one hundred thirty-one billion, six hundred fifty-two million, two hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 701 732 1098 1402 1464 2103 2196 2804 3721 4206 4392 5608 6309 7442 8412 11163 12618 14884 16824 22326 25236 29768 33489 42761 44652 50472 66978 85522 89304 128283 133956 171044 256566 267912 342088 384849 491401 513132 769698 982802 1026264 1474203 1539396 1965604 2608421 2948406 3078792 3931208 4422609 5216842 5896812 7825263 8845218 10433684 11793624 15650526 17690436 20867368 23475789 29975461 31301052 35380872 46951578 59950922 62602104 89926383 93903156 119901844 179852766 187806312 239803688 269779149 359705532 539558298 719411064 1079116596 1828503121 2158233192 3657006242 5485509363 7314012484 10971018726 14628024968 16456528089 21942037452 32913056178 43884074904 65826112356 131652224712