Search a number
-
+
132101322330120 = 233511138513904289
BaseRepresentation
bin11110000010010100111100…
…011001000101000000001000
3122022201202121021200210220020
4132002110330121011000020
5114303322002004030440
61144542302032100440
736553001625621063
oct3602247431050010
9568652537623806
10132101322330120
1139100946643320
1212996155694720
135893141581b40
142489a495638da
1510413d29123d0
hex78253c645008

132101322330120 has 256 divisors, whose sum is σ = 465643083628800. Its totient is φ = 29557629911040.

The previous prime is 132101322330113. The next prime is 132101322330169. The reversal of 132101322330120 is 21033223101231.

It is a super-2 number, since 2×1321013223301202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145630936 + ... + 146535224.

It is an arithmetic number, because the mean of its divisors is an integer number (1818918295425).

Almost surely, 2132101322330120 is an apocalyptic number.

132101322330120 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 132101322330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232821541814400).

132101322330120 is an abundant number, since it is smaller than the sum of its proper divisors (333541761298680).

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

132101322330120 is a wasteful number, since it uses less digits than its factorization.

132101322330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912840 (or 912836 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132101322330120 its reverse (21033223101231), we get a palindrome (153134545431351).

The spelling of 132101322330120 in words is "one hundred thirty-two trillion, one hundred one billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twenty".