Search a number
-
+
132242211323010 = 23352321295042081
BaseRepresentation
bin11110000100011000001010…
…000001111011110010000010
3122100020020021002012012122000
4132010120022001323302002
5114313124022044314020
61145131122212124430
736566120163403305
oct3604301201736202
9570206232165560
10132242211323010
1139155674820a28
12129b9515006716
1358a3505385419
1424927b2c84b3c
151044dcb6d9090
hex78460a07bc82

132242211323010 has 64 divisors (see below), whose sum is σ = 367978327176960. Its totient is φ = 33731346654720.

The previous prime is 132242211322997. The next prime is 132242211323011. The reversal of 132242211323010 is 10323112242231.

132242211323010 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 221 + 132 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132242211323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10647514831 + ... + 10647527250.

It is an arithmetic number, because the mean of its divisors is an integer number (5749661362140).

Almost surely, 2132242211323010 is an apocalyptic number.

132242211323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132242211323010 is an abundant number, since it is smaller than the sum of its proper divisors (235736115853950).

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

132242211323010 is a wasteful number, since it uses less digits than its factorization.

132242211323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21295042120 (or 21295042114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132242211323010 its reverse (10323112242231), we get a palindrome (142565323565241).

The spelling of 132242211323010 in words is "one hundred thirty-two trillion, two hundred forty-two billion, two hundred eleven million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 21295042081 42590084162 63885126243 106475210405 127770252486 191655378729 212950420810 319425631215 383310757458 489785967863 574966136187 638851262430 958276893645 979571935726 1149932272374 1469357903589 1916553787290 2448929839315 2874830680935 2938715807178 4408073710767 4897859678630 5749661361870 7346789517945 8816147421534 13224221132301 14693579035890 22040368553835 26448442264602 44080737107670 66121105661505 132242211323010