Search a number
-
+
132330132213210 = 232523305532092351
BaseRepresentation
bin11110000101101010000010…
…100001100000110111011010
3122100112122012102212012021200
4132011222002201200313122
5114321044102321310320
61145235342402015030
736605352015550251
oct3605520241406732
9570478172765250
10132330132213210
1139189991882058
1212a12571647476
1358ab8a75221c9
142496b539b3798
151047325278290
hex785a82860dda

132330132213210 has 96 divisors (see below), whose sum is σ = 359029324412928. Its totient is φ = 33752651961600.

The previous prime is 132330132213197. The next prime is 132330132213263. The reversal of 132330132213210 is 12312231033231.

132330132213210 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 301 + 32 + 2 + 1 + 321 + 0 = 666.

It is a super-2 number, since 2×1323301322132102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62198535 + ... + 64290885.

It is an arithmetic number, because the mean of its divisors is an integer number (3739888795968).

Almost surely, 2132330132213210 is an apocalyptic number.

132330132213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132330132213210 is an abundant number, since it is smaller than the sum of its proper divisors (226699192199718).

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

132330132213210 is a wasteful number, since it uses less digits than its factorization.

132330132213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122940 (or 2122937 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132330132213210 its reverse (12312231033231), we get a palindrome (144642363246441).

The spelling of 132330132213210 in words is "one hundred thirty-two trillion, three hundred thirty billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 30553 61106 91659 152765 183318 274977 305530 458295 549954 702719 916590 1374885 1405438 2092351 2108157 2749770 3513595 4184702 4216314 6277053 6324471 7027190 10461755 10540785 12554106 12648942 18831159 20923510 21081570 31385265 31622355 37662318 48124073 62770530 63244710 94155795 96248146 144372219 188311590 240620365 288744438 433116657 481240730 721861095 866233314 1443722190 2165583285 4331166570 63927600103 127855200206 191782800309 319638000515 383565600618 575348400927 639276001030 958914001545 1150696801854 1470334802369 1917828003090 2876742004635 2940669604738 4411004407107 5753484009270 7351674011845 8822008814214 13233013221321 14703348023690 22055022035535 26466026442642 44110044071070 66165066106605 132330132213210