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132144051130 = 25721328373303
BaseRepresentation
bin111101100010001100…
…1100011001110111010
3110122002100100022211221
41323010121203032322
54131112334114010
6140412305342254
712355436621200
oct1730431431672
9418070308757
10132144051130
1151050965513
122173a93798a
13c5cc147140
146578141070
1536861ccdda
hex1ec46633ba

132144051130 has 96 divisors (see below), whose sum is σ = 299034578304. Its totient is φ = 41673066624.

The previous prime is 132144051107. The next prime is 132144051139. The reversal of 132144051130 is 31150441231.

132144051130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1321440511303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132144051095 and 132144051104.

It is not an unprimeable number, because it can be changed into a prime (132144051139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766059 + ... + 1839361.

It is an arithmetic number, because the mean of its divisors is an integer number (3114943524).

Almost surely, 2132144051130 is an apocalyptic number.

132144051130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132144051130 is an abundant number, since it is smaller than the sum of its proper divisors (166890527174).

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

132144051130 is a wasteful number, since it uses less digits than its factorization.

132144051130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73620 (or 73613 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 132144051130 its reverse (31150441231), we get a palindrome (163294492361).

The spelling of 132144051130 in words is "one hundred thirty-two billion, one hundred forty-four million, fifty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 283 455 490 566 637 910 1274 1415 1981 2830 3185 3679 3962 6370 7358 9905 13867 18395 19810 25753 27734 36790 51506 69335 73303 128765 138670 146606 180271 257530 360542 366515 513121 733030 901355 952939 1026242 1802710 1905878 2565605 3591847 4764695 5131210 6670573 7183694 9529390 13341146 17959235 20744749 33352865 35918470 41489498 46694011 66705730 93388022 103723745 145213243 207447490 233470055 269681737 290426486 466940110 539363474 726066215 1016492701 1348408685 1452132430 1887772159 2032985402 2696817370 3775544318 5082463505 9438860795 10164927010 13214405113 18877721590 26428810226 66072025565 132144051130