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132120111240 = 233251328230793
BaseRepresentation
bin111101100001011111…
…0001110100010001000
3110122000200022001111100
41323002332032202020
54131040222024430
6140410052301400
712355026262455
oct1730276164210
9418020261440
10132120111240
11510393a4087
1221732911860
13c5c71b4620
146574cac82c
15368404e960
hex1ec2f8e888

132120111240 has 96 divisors (see below), whose sum is σ = 462420405720. Its totient is φ = 32521872384.

The previous prime is 132120111223. The next prime is 132120111241. The reversal of 132120111240 is 42111021231.

It can be written as a sum of positive squares in 4 ways, for example, as 76232314404 + 55887796836 = 276102^2 + 236406^2 .

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 (132120111241) 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, 14110717 + ... + 14120076.

Almost surely, 2132120111240 is an apocalyptic number.

132120111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120111240 is an abundant number, since it is smaller than the sum of its proper divisors (330300294480).

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

132120111240 is a wasteful number, since it uses less digits than its factorization.

132120111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28230823 (or 28230816 counting only the distinct ones).

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

Adding to 132120111240 its reverse (42111021231), we get a palindrome (174231132471).

Subtracting from 132120111240 its reverse (42111021231), we obtain a palindrome (90009090009).

The spelling of 132120111240 in words is "one hundred thirty-two billion, one hundred twenty million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 28230793 56461586 84692379 112923172 141153965 169384758 225846344 254077137 282307930 338769516 367000309 423461895 508154274 564615860 677539032 734000618 846923790 1016308548 1101000927 1129231720 1270385685 1468001236 1693847580 1835001545 2032617096 2202001854 2540771370 2936002472 3303002781 3387695160 3670003090 4404003708 5081542740 5505004635 6606005562 7340006180 8808007416 10163085480 11010009270 13212011124 14680012360 16515013905 22020018540 26424022248 33030027810 44040037080 66060055620 132120111240