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132031311132 = 22372391765719
BaseRepresentation
bin111101011110110101…
…1011110110100011100
3110121210111012112122110
41322331223132310130
54130400003424012
6140353201114020
712352600425150
oct1727553366434
9417714175573
10132031311132
1150aa3262266
1221709028910
13c5b1992896
146567195060
15367b35d73c
hex1ebdaded1c

132031311132 has 48 divisors (see below), whose sum is σ = 352103575040. Its totient is φ = 37721080512.

The previous prime is 132031311131. The next prime is 132031311173. The reversal of 132031311132 is 231113130231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132031311099 and 132031311108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031311131) 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, 1976169 + ... + 2041887.

Almost surely, 2132031311132 is an apocalyptic number.

132031311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132031311132 is an abundant number, since it is smaller than the sum of its proper divisors (220072263908).

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

132031311132 is a wasteful number, since it uses less digits than its factorization.

132031311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89650 (or 89648 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132031311132 its reverse (231113130231), we get a palindrome (363144441363).

The spelling of 132031311132 in words is "one hundred thirty-two billion, thirty-one million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 23917 47834 65719 71751 95668 131438 143502 167419 197157 262876 287004 334838 394314 460033 502257 669676 788628 920066 1004514 1380099 1840132 2009028 2760198 5520396 1571801323 3143602646 4715403969 6287205292 9430807938 11002609261 18861615876 22005218522 33007827783 44010437044 66015655566 132031311132