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132103110012 = 22373619243623
BaseRepresentation
bin111101100000111110…
…1010111110101111100
3110121222111022022012020
41323001331113311330
54131021344010022
6140404244040140
712354431623266
oct1730175276574
9417874268166
10132103110012
115102a841885
1221729093050
13c5c3811123
146572924b36
1536827e235c
hex1ec1f57d7c

132103110012 has 48 divisors (see below), whose sum is σ = 312969135360. Its totient is φ = 43360818048.

The previous prime is 132103110011. The next prime is 132103110037. The reversal of 132103110012 is 210011301231.

It is a happy number.

It is a super-3 number, since 3×1321031100123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132103109973 and 132103110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103110011) 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, 420433 + ... + 664055.

It is an arithmetic number, because the mean of its divisors is an integer number (6520190320).

Almost surely, 2132103110012 is an apocalyptic number.

132103110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132103110012 is an abundant number, since it is smaller than the sum of its proper divisors (180866025348).

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

132103110012 is a wasteful number, since it uses less digits than its factorization.

132103110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244322 (or 244320 counting only the distinct ones).

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

Adding to 132103110012 its reverse (210011301231), we get a palindrome (342114411243).

The spelling of 132103110012 in words is "one hundred thirty-two billion, one hundred three million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 619 876 1238 1857 2476 3714 7428 45187 90374 135561 180748 243623 271122 487246 542244 730869 974492 1461738 2923476 17784479 35568958 53353437 71137916 106706874 150802637 213413748 301605274 452407911 603210548 904815822 1809631644 11008592501 22017185002 33025777503 44034370004 66051555006 132103110012