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132111123000 = 233531912971787
BaseRepresentation
bin111101100001001101…
…1111100001000111000
3110122000001101101221120
41323002123330020320
54131030421414000
6140405131505240
712354560005623
oct1730233741070
9418001341846
10132111123000
115103431508a
122172b8b8220
13c5c538843c
146573a0cdba
1536833766a0
hex1ec26fc238

132111123000 has 256 divisors, whose sum is σ = 434458252800. Its totient is φ = 33331046400.

The previous prime is 132111122989. The next prime is 132111123013. The reversal of 132111123000 is 321111231.

It is a happy number.

It is a super-2 number, since 2×1321111230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 73928107 + ... + 73929893.

It is an arithmetic number, because the mean of its divisors is an integer number (1697102550).

Almost surely, 2132111123000 is an apocalyptic number.

132111123000 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 132111123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217229126400).

132111123000 is an abundant number, since it is smaller than the sum of its proper divisors (302347129800).

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

132111123000 is a wasteful number, since it uses less digits than its factorization.

132111123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132111123000 its reverse (321111231), we get a palindrome (132432234231).

The spelling of 132111123000 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred twenty-three thousand".