Search a number
-
+
132301102164 = 2237111061134951
BaseRepresentation
bin111101100110111000…
…0101001110001010100
3110122111021212100100220
41323031300221301110
54131423040232124
6140440035434340
712362354546010
oct1731560516124
9418437770326
10132301102164
1151121583260
12217834559b0
13c62584454a
146590d43540
153694da1879
hex1ecdc29c54

132301102164 has 96 divisors (see below), whose sum is σ = 385241536512. Its totient is φ = 34331280000.

The previous prime is 132301102151. The next prime is 132301102169. The reversal of 132301102164 is 461201103231.

It is a happy number.

132301102164 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301102169) 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, 912889 + ... + 1047839.

It is an arithmetic number, because the mean of its divisors is an integer number (4012932672).

Almost surely, 2132301102164 is an apocalyptic number.

132301102164 is a gapful number since it is divisible by the number (14) 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 132301102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192620768256).

132301102164 is an abundant number, since it is smaller than the sum of its proper divisors (252940434348).

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

132301102164 is a wasteful number, since it uses less digits than its factorization.

132301102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136037 (or 136035 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132301102164 its reverse (461201103231), we get a palindrome (593502205395).

The spelling of 132301102164 in words is "one hundred thirty-two billion, three hundred one million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1061 2122 3183 4244 6366 7427 11671 12732 14854 22281 23342 29708 35013 44562 46684 70026 81697 89124 134951 140052 163394 245091 269902 326788 404853 490182 539804 809706 944657 980364 1484461 1619412 1889314 2833971 2968922 3778628 4453383 5667942 5937844 8906766 10391227 11335884 17813532 20782454 31173681 41564908 62347362 124694724 143183011 286366022 429549033 572732044 859098066 1002281077 1575013121 1718196132 2004562154 3006843231 3150026242 4009124308 4725039363 6013686462 6300052484 9450078726 11025091847 12027372924 18900157452 22050183694 33075275541 44100367388 66150551082 132301102164