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132032213112 = 233194326325603
BaseRepresentation
bin111101011110110111…
…0111011000001111000
3110121210112220100221010
41322331232323001320
54130400221304422
6140353232313520
712352611202632
oct1727556730170
9417715810833
10132032213112
1150aa38189a8
12217093a28a0
13c5b1c1a2b7
14656734ba52
15367b48ab0c
hex1ebdbbb078

132032213112 has 128 divisors (see below), whose sum is σ = 356899276800. Its totient is φ = 40568314752.

The previous prime is 132032213077. The next prime is 132032213129. The reversal of 132032213112 is 211312230231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5144103 + ... + 5169705.

It is an arithmetic number, because the mean of its divisors is an integer number (2788275600).

Almost surely, 2132032213112 is an apocalyptic number.

132032213112 is a gapful number since it is divisible by the number (12) 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 132032213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178449638400).

132032213112 is an abundant number, since it is smaller than the sum of its proper divisors (224867063688).

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

132032213112 is a wasteful number, since it uses less digits than its factorization.

132032213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25937 (or 25933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132032213112 its reverse (211312230231), we get a palindrome (343344443343).

The spelling of 132032213112 in words is "one hundred thirty-two billion, thirty-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 263 344 456 516 526 789 817 1032 1052 1578 1634 2104 2451 3156 3268 4902 4997 6312 6536 9804 9994 11309 14991 19608 19988 22618 25603 29982 33927 39976 45236 51206 59964 67854 76809 90472 102412 119928 135708 153618 204824 214871 271416 307236 429742 486457 614472 644613 859484 972914 1100929 1289226 1459371 1718968 1945828 2201858 2578452 2918742 3302787 3891656 4403716 5156904 5837484 6605574 6733589 8807432 11674968 13211148 13467178 20200767 20917651 26422296 26934356 40401534 41835302 53868712 62752953 80803068 83670604 125505906 127938191 161606136 167341208 251011812 255876382 289544327 383814573 502023624 511752764 579088654 767629146 868632981 1023505528 1158177308 1535258292 1737265962 2316354616 3070516584 3474531924 5501342213 6949063848 11002684426 16504026639 22005368852 33008053278 44010737704 66016106556 132032213112