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132110220111232 = 2711547523332779
BaseRepresentation
bin11110000010011101001110…
…101111011010110110000000
3122022202121120101102220221211
4132002131032233122312000
5114303443212322024412
61144550333002255504
736553435260535636
oct3602351657326600
9568677511386854
10132110220111232
11391046a2167a30
1212997a194b7594
135893c2bac268c
14248a25116b356
151041753b4bca7
hex78274ebdad80

132110220111232 has 128 divisors (see below), whose sum is σ = 287703173577600. Its totient is φ = 59927036682240.

The previous prime is 132110220111229. The next prime is 132110220111293. The reversal of 132110220111232 is 232111022011231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1321102201112322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030314619 + ... + 4030347397.

It is an arithmetic number, because the mean of its divisors is an integer number (2247681043575).

Almost surely, 2132110220111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132110220111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143851586788800).

132110220111232 is an abundant number, since it is smaller than the sum of its proper divisors (155592953466368).

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

132110220111232 is a wasteful number, since it uses less digits than its factorization.

132110220111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38584 (or 38572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 132110220111232 its reverse (232111022011231), we get a palindrome (364221242122463).

The spelling of 132110220111232 in words is "one hundred thirty-two trillion, one hundred ten billion, two hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 547 704 1094 1408 2188 4376 5233 6017 8752 10466 12034 17504 20932 24068 32779 35008 41864 48136 57563 65558 70016 83728 96272 115126 131116 167456 192544 230252 262232 334912 360569 385088 460504 524464 669824 721138 770176 921008 1048928 1442276 1842016 2097856 2862451 2884552 3684032 4195712 5724902 5769104 7368064 11449804 11538208 17930113 22899608 23076416 31486961 35860226 45799216 46152832 62973922 71720452 91598432 125947844 143440904 171532507 183196864 197231243 251895688 286881808 343065014 366393728 394462486 503791376 573763616 686130028 788924972 1007582752 1147527232 1372260056 1577849944 1886857577 2015165504 2295054464 2744520112 3155699888 3773715154 4030331008 5489040224 6311399776 7547430308 10978080448 12622799552 15094860616 21956160896 25245599104 30189721232 60379442464 93828281329 120758884928 187656562658 241517769856 375313125316 750626250632 1032111094619 1501252501264 2064222189238 3002505002528 4128444378476 6005010005056 8256888756952 12010020010112 16513777513904 33027555027808 66055110055616 132110220111232