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132120211140 = 223251619453367
BaseRepresentation
bin111101100001011111…
…0100110111011000100
3110122000200111010112100
41323002332212323010
54131040233224030
6140410054352100
712355030156641
oct1730276467304
9418020433470
10132120211140
1151039462145
122173295b630
13c5c721ac38
146574cd6dc8
15368406e360
hex1ec2fa6ec4

132120211140 has 72 divisors (see below), whose sum is σ = 401013063360. Its totient is φ = 35210217024.

The previous prime is 132120211133. The next prime is 132120211147. The reversal of 132120211140 is 41112021231.

132120211140 is a `hidden beast` number, since 1 + 321 + 202 + 1 + 1 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (132120211133) and next prime (132120211147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132120211147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64737 + ... + 518103.

It is an arithmetic number, because the mean of its divisors is an integer number (5569625880).

Almost surely, 2132120211140 is an apocalyptic number.

132120211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120211140 is an abundant number, since it is smaller than the sum of its proper divisors (268892852220).

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

132120211140 is a wasteful number, since it uses less digits than its factorization.

132120211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455001 (or 454996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132120211140 its reverse (41112021231), we get a palindrome (173232232371).

The spelling of 132120211140 in words is "one hundred thirty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1619 3238 4857 6476 8095 9714 14571 16190 19428 24285 29142 32380 48570 58284 72855 97140 145710 291420 453367 906734 1360101 1813468 2266835 2720202 4080303 4533670 5440404 6800505 8160606 9067340 13601010 16321212 20401515 27202020 40803030 81606060 734001173 1468002346 2202003519 2936004692 3670005865 4404007038 6606010557 7340011730 8808014076 11010017595 13212021114 14680023460 22020035190 26424042228 33030052785 44040070380 66060105570 132120211140