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132332131221132 = 22333138149873319
BaseRepresentation
bin11110000101101011111001…
…101011000111111010001100
3122100112211100202100022122010
4132011223321223013322030
5114321112201043034012
61145240313011421220
736605452401050553
oct3605537153077214
9570484322308563
10132332131221132
113918a818201317
1212a12a2abb4810
1358abb3570cb2b
142496ca3290d9a
1510473e09e1c3c
hex785af9ac7e8c

132332131221132 has 48 divisors (see below), whose sum is σ = 309716300768000. Its totient is φ = 43976242284480.

The previous prime is 132332131221131. The next prime is 132332131221149. The reversal of 132332131221132 is 231122131233231.

It is a happy number.

132332131221132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1323321312211322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132332131221132.

It is not an unprimeable number, because it can be changed into a prime (132332131221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151091169 + ... + 151964487.

Almost surely, 2132332131221132 is an apocalyptic number.

132332131221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132332131221132 is an abundant number, since it is smaller than the sum of its proper divisors (177384169546868).

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

132332131221132 is a wasteful number, since it uses less digits than its factorization.

132332131221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911806 (or 911804 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 132332131221132 its reverse (231122131233231), we get a palindrome (363454262454363).

The spelling of 132332131221132 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 331 662 993 1324 1986 3972 38149 76298 114447 152596 228894 457788 873319 1746638 2619957 3493276 5239914 10479828 12627319 25254638 37881957 50509276 75763914 151527828 289068589 578137178 867205767 1156274356 1734411534 3468823068 33316246531 66632493062 99948739593 133264986124 199897479186 399794958372 11027677601761 22055355203522 33083032805283 44110710407044 66166065610566 132332131221132