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132231111120020 = 225111037669760913
BaseRepresentation
bin11110000100001101110100…
…011010000001010010010100
3122100012011121111012110201202
4132010031310122001102110
5114312433303421320040
61145122044524212032
736565245126261413
oct3604156432012224
9570164544173652
10132231111120020
1139150998a73150
12129b733769a018
1358a2456775a83
14249203c96d47a
15104497be55015
hex784374681494

132231111120020 has 96 divisors (see below), whose sum is σ = 305910803278080. Its totient is φ = 47610933442560.

The previous prime is 132231111120007. The next prime is 132231111120049. The reversal of 132231111120020 is 20021111132231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132231111119974 and 132231111120001.

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 31 ways as a sum of consecutive naturals, for example, 173399084 + ... + 174159996.

It is an arithmetic number, because the mean of its divisors is an integer number (3186570867480).

Almost surely, 2132231111120020 is an apocalyptic number.

132231111120020 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 132231111120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152955401639040).

132231111120020 is an abundant number, since it is smaller than the sum of its proper divisors (173679692158060).

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

132231111120020 is a wasteful number, since it uses less digits than its factorization.

132231111120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768705 (or 768703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 132231111120020 its reverse (20021111132231), we get a palindrome (152252222252251).

The spelling of 132231111120020 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, one hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 7669 11330 15338 22660 30676 38345 76690 84359 153380 168718 337436 421795 760913 789907 843590 1521826 1579814 1687180 3043652 3159628 3804565 3949535 7609130 7899070 8370043 8688977 15218260 15798140 16740086 17377954 33480172 34755908 41850215 43444885 78374039 83700430 86889770 156748078 167400860 173779540 313496156 391870195 783740390 862114429 1567480780 1724228858 3448457716 4310572145 5835441797 8621144290 11670883594 17242288580 23341767188 29177208985 58354417970 64189859767 116708835940 128379719534 256759439068 320949298835 601050505091 641898597670 1202101010182 1283797195340 2404202020364 3005252525455 6010505050910 6611555556001 12021010101820 13223111112002 26446222224004 33057777780005 66115555560010 132231111120020