Search a number
-
+
132231410213210 = 25711220697545547
BaseRepresentation
bin11110000100001110000110…
…001110111110000101011010
3122100012012101022222222110022
4132010032012032332011122
5114312434412003310320
61145122134330550442
736565255420443260
oct3604160616760532
9570165338888408
10132231410213210
1139151031888300
12129b73bb898422
1358a24a3716ba9
14249206a588430
151044998335325
hex7843863be15a

132231410213210 has 96 divisors (see below), whose sum is σ = 299140534062720. Its totient is φ = 41195059297920.

The previous prime is 132231410213209. The next prime is 132231410213239. The reversal of 132231410213210 is 12312014132231.

It is a self number, because there is not a number n which added to its sum of digits gives 132231410213210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13751657 + ... + 21297203.

It is an arithmetic number, because the mean of its divisors is an integer number (3116047229820).

Almost surely, 2132231410213210 is an apocalyptic number.

132231410213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132231410213210 is an abundant number, since it is smaller than the sum of its proper divisors (166909123849510).

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

132231410213210 is a wasteful number, since it uses less digits than its factorization.

132231410213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547652 (or 7547641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 132231410213210 its reverse (12312014132231), we get a palindrome (144543424345441).

The spelling of 132231410213210 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, four hundred ten million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1694 2069 4138 4235 8470 10345 14483 20690 22759 28966 45518 72415 113795 144830 159313 227590 250349 318626 500698 796565 1251745 1593130 1752443 2503490 3504886 7545547 8762215 15091094 17524430 37727735 52818829 75455470 83001017 105637658 166002034 264094145 415005085 528188290 581007119 830010170 913011187 1162014238 1826022374 2905035595 4565055935 5810071190 6391078309 9130111870 12782156618 15611736743 31223473486 31955391545 63910783090 78058683715 109282157201 156117367430 171729104173 218564314402 343458208346 546410786005 858645520865 1092821572010 1202103729211 1717291041730 1889020145903 2404207458422 3778040291806 6010518646055 9445100729515 12021037292110 13223141021321 18890201459030 26446282042642 66115705106605 132231410213210