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132103114432 = 2629297123957
BaseRepresentation
bin111101100000111110…
…1011000111011000000
3110121222111022112020221
41323001331120323000
54131021344130212
6140404244112424
712354431642212
oct1730175307300
9417874275227
10132103114432
115102a845133
1221729095714
13c5c3813143
1465729265b2
1536827e3807
hex1ec1f58ec0

132103114432 has 56 divisors (see below), whose sum is σ = 271284100560. Its totient is φ = 63749790720.

The previous prime is 132103114417. The next prime is 132103114439. The reversal of 132103114432 is 234411301231.

It is a junction number, because it is equal to n+sod(n) for n = 132103114397 and 132103114406.

It is not an unprimeable number, because it can be changed into a prime (132103114439) 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 7 ways as a sum of consecutive naturals, for example, 5502198 + ... + 5526154.

Almost surely, 2132103114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132103114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135642050280).

132103114432 is an abundant number, since it is smaller than the sum of its proper divisors (139180986128).

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

132103114432 is a wasteful number, since it uses less digits than its factorization.

132103114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26969 (or 26959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 132103114432 its reverse (234411301231), we get a palindrome (366514415663).

The spelling of 132103114432 in words is "one hundred thirty-two billion, one hundred three million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2971 5942 11884 23768 23957 47536 47914 86159 95072 95828 172318 190144 191656 344636 383312 689272 694753 766624 1378544 1389506 1533248 2757088 2779012 5514176 5558024 11116048 22232096 44464192 71176247 142352494 284704988 569409976 1138819952 2064111163 2277639904 4128222326 4555279808 8256444652 16512889304 33025778608 66051557216 132103114432