Search a number
-
+
132033220410 = 23571348363817
BaseRepresentation
bin111101011110111001…
…0110000111100111010
3110121210121210112200110
41322331302300330322
54130401001023120
6140353310045150
712352622566440
oct1727562607472
9417717715613
10132033220410
1150aa4346783
12217097a97b6
13c5b21b0930
146567530b90
15367b5d92e0
hex1ebdcb0f3a

132033220410 has 64 divisors (see below), whose sum is σ = 390005828352. Its totient is φ = 27857558016.

The previous prime is 132033220339. The next prime is 132033220411. The reversal of 132033220410 is 14022330231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (132033220411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24179179 + ... + 24184638.

It is an arithmetic number, because the mean of its divisors is an integer number (6093841068).

Almost surely, 2132033220410 is an apocalyptic number.

132033220410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132033220410 is an abundant number, since it is smaller than the sum of its proper divisors (257972607942).

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

132033220410 is a wasteful number, since it uses less digits than its factorization.

132033220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48363847.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132033220410 its reverse (14022330231), we get a palindrome (146055550641).

The spelling of 132033220410 in words is "one hundred thirty-two billion, thirty-three million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 48363817 96727634 145091451 241819085 290182902 338546719 483638170 628729621 677093438 725457255 1015640157 1257459242 1450914510 1692733595 1886188863 2031280314 3143648105 3385467190 3772377726 4401107347 5078200785 6287296210 8802214694 9430944315 10156401570 13203322041 18861888630 22005536735 26406644082 44011073470 66016610205 132033220410