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132112203140 = 2259417019777
BaseRepresentation
bin111101100001010000…
…0000011110110000100
3110122000010102021121202
41323002200003312010
54131031211000030
6140405211002032
712354602125001
oct1730240036604
9418003367552
10132112203140
1151034992665
1221730139318
13c5c5675c88
146573c108a8
1536834db745
hex1ec2803d84

132112203140 has 24 divisors (see below), whose sum is σ = 277730496792. Its totient is φ = 52788715520.

The previous prime is 132112203127. The next prime is 132112203143. The reversal of 132112203140 is 41302211231.

It can be written as a sum of positive squares in 4 ways, for example, as 20600286784 + 111511916356 = 143528^2 + 333934^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132112203143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3491069 + ... + 3528708.

It is an arithmetic number, because the mean of its divisors is an integer number (11572104033).

Almost surely, 2132112203140 is an apocalyptic number.

132112203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112203140 is an abundant number, since it is smaller than the sum of its proper divisors (145618293652).

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

132112203140 is a wasteful number, since it uses less digits than its factorization.

132112203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020727 (or 7020725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132112203140 its reverse (41302211231), we get a palindrome (173414414371).

The spelling of 132112203140 in words is "one hundred thirty-two billion, one hundred twelve million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 941 1882 3764 4705 9410 18820 7019777 14039554 28079108 35098885 70197770 140395540 6605610157 13211220314 26422440628 33028050785 66056101570 132112203140