Search a number
-
+
132104344231020 = 223571811748399397
BaseRepresentation
bin11110000010010111110000…
…100000101101110001101100
3122022202001101212221021121210
4132002113300200231301230
5114303344144110343040
61144543521541554420
736553136541430560
oct3602276040556154
9568661355837553
10132104344231020
1139102157402187
1212996859715a10
135893503663a95
142489c54a2b6a0
15104150cd80480
hex7825f082dc6c

132104344231020 has 192 divisors, whose sum is σ = 425098037984256. Its totient is φ = 30026434268160.

The previous prime is 132104344230941. The next prime is 132104344231099. The reversal of 132104344231020 is 20132443401231.

It is an interprime number because it is at equal distance from previous prime (132104344230941) and next prime (132104344231099).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329007962 + ... + 1329107358.

It is an arithmetic number, because the mean of its divisors is an integer number (2214052281168).

Almost surely, 2132104344231020 is an apocalyptic number.

132104344231020 is a gapful number since it is divisible by the number (10) 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 132104344231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212549018992128).

132104344231020 is an abundant number, since it is smaller than the sum of its proper divisors (292993693753236).

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

132104344231020 is a wasteful number, since it uses less digits than its factorization.

132104344231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117080 (or 117078 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132104344231020 its reverse (20132443401231), we get a palindrome (152236787632251).

The spelling of 132104344231020 in words is "one hundred thirty-two trillion, one hundred four billion, three hundred forty-four million, two hundred thirty-one thousand, twenty".