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131211300004032 = 26310310133654779
BaseRepresentation
bin11101110101011000000010…
…111011010110000011000000
3122012120200022002200002011010
4131311120002323112003000
5114144231220300112112
61143021350012520520
736431463221644623
oct3565300273260300
9565520262602133
10131211300004032
11388984441a9626
1212871766a80140
13582a231c970c1
14245893736bdba
15102819133363c
hex775602ed60c0

131211300004032 has 112 divisors (see below), whose sum is σ = 350568876752640. Its totient is φ = 43308127423488.

The previous prime is 131211300004021. The next prime is 131211300004073. The reversal of 131211300004032 is 230400003112131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200062819 + ... + 200717597.

It is an arithmetic number, because the mean of its divisors is an integer number (3130079256720).

Almost surely, 2131211300004032 is an apocalyptic number.

131211300004032 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 131211300004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175284438376320).

131211300004032 is an abundant number, since it is smaller than the sum of its proper divisors (219357576748608).

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

131211300004032 is a wasteful number, since it uses less digits than its factorization.

131211300004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665030 (or 665020 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131211300004032 its reverse (230400003112131), we get a palindrome (361611303116163).

The spelling of 131211300004032 in words is "one hundred thirty-one trillion, two hundred eleven billion, three hundred million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 10133 19776 20266 30399 40532 60798 81064 121596 162128 243192 324256 486384 648512 654779 972768 1043699 1309558 1945536 1964337 2087398 2619116 3131097 3928674 4174796 5238232 6262194 7857348 8349592 10476464 12524388 15714696 16699184 20952928 25048776 31429392 33398368 41905856 50097552 62858784 66796736 67442237 100195104 125717568 134884474 200390208 202326711 269768948 404653422 539537896 809306844 1079075792 1618613688 2158151584 3237227376 4316303168 6474454752 6634875607 12948909504 13269751214 19904626821 26539502428 39809253642 53079004856 79618507284 106158009712 159237014568 212316019424 318474029136 424632038848 636948058272 683392187521 1273896116544 1366784375042 2050176562563 2733568750084 4100353125126 5467137500168 8200706250252 10934275000336 16401412500504 21868550000672 32802825001008 43737100001344 65605650002016 131211300004032