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132116621140 = 22572671335327
BaseRepresentation
bin111101100001011000…
…0111010011101010100
3110122000102201201222101
41323002300322131110
54131033323334030
6140405445411444
712354654515320
oct1730260723524
9418012651871
10132116621140
115103742a9a9
1221731709b84
13c5c6561b8a
146574640980
153683ab07ca
hex1ec2c3a754

132116621140 has 48 divisors (see below), whose sum is σ = 317100736512. Its totient is φ = 45294149376.

The previous prime is 132116621111. The next prime is 132116621141. The reversal of 132116621140 is 41126611231.

132116621140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132116621099 and 132116621108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132116621141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3722157 + ... + 3757483.

It is an arithmetic number, because the mean of its divisors is an integer number (6606265344).

Almost surely, 2132116621140 is an apocalyptic number.

132116621140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132116621140 is an abundant number, since it is smaller than the sum of its proper divisors (184984115372).

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

132116621140 is a wasteful number, since it uses less digits than its factorization.

132116621140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62056 (or 62054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Subtracting from 132116621140 its reverse (41126611231), we obtain a palindrome (90990009909).

The spelling of 132116621140 in words is "one hundred thirty-two billion, one hundred sixteen million, six hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 26713 35327 53426 70654 106852 133565 141308 176635 186991 247289 267130 353270 373982 494578 534260 706540 747964 934955 989156 1236445 1869910 2472890 3739820 4945780 943690151 1887380302 3774760604 4718450755 6605831057 9436901510 13211662114 18873803020 26423324228 33029155285 66058310570 132116621140