Search a number
-
+
132140321313 = 3711131011912281
BaseRepresentation
bin111101100010000101…
…1010100101000100001
3110122002002022211111120
41323010023110220201
54131110410240223
6140412053402453
712355363125120
oct1730413245041
9418062284446
10132140321313
1151049848220
1221739639429
13c5cb43c550
14657784dab7
153685be2be3
hex1ec42d4a21

132140321313 has 128 divisors (see below), whose sum is σ = 240257138688. Its totient is φ = 62380800000.

The previous prime is 132140321297. The next prime is 132140321321. The reversal of 132140321313 is 313123041231.

It is not a de Polignac number, because 132140321313 - 24 = 132140321297 is a prime.

It is a super-2 number, since 2×1321403213132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132140325313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57929733 + ... + 57932013.

It is an arithmetic number, because the mean of its divisors is an integer number (1877008896).

Almost surely, 2132140321313 is an apocalyptic number.

132140321313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132140321313 is a deficient number, since it is larger than the sum of its proper divisors (108116817375).

132140321313 is a wasteful number, since it uses less digits than its factorization.

132140321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132140321313 its reverse (313123041231), we get a palindrome (445263362544).

The spelling of 132140321313 in words is "one hundred thirty-two billion, one hundred forty million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 191 231 273 303 429 573 707 1001 1111 1313 1337 2101 2121 2281 2483 3003 3333 3939 4011 6303 6843 7449 7777 9191 14443 14707 15967 17381 19291 23331 25091 27313 27573 29653 43329 44121 47901 52143 57873 75273 81939 88959 101101 135037 175637 191191 207571 212201 230381 250783 303303 326183 405111 435671 526911 573573 622713 636603 691143 752349 978549 1307013 1485407 1612667 1755481 2283281 2534191 2758613 2994953 3049697 4456221 4792381 4838001 5266443 5663723 6849843 7602573 8275839 8984859 9149091 14377143 16991169 17739337 19310291 20964671 32944483 33546667 39646061 44002771 53218011 57930873 62300953 62894013 98833449 100640001 118938183 132008313 186902859 230611381 308019397 436106671 484030481 572036023 691834143 924058191 1308320013 1452091443 1716108069 3388213367 4004252161 6292396253 10164640101 12012756483 18877188759 44046773771 132140321313