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132114112431114 = 23113187773628167
BaseRepresentation
bin11110000010100000110110…
…101111011100010000001010
3122022202222121122112021001110
4132002200312233130100022
5114304024200240243424
61144552215124231150
736553633602652212
oct3602406657342012
9568688548467043
10132114112431114
113910630a294520
1212998724b3b4b6
1358943cc311938
14248a500091242
1510418d0701c29
hex782836bdc40a

132114112431114 has 64 divisors (see below), whose sum is σ = 297886609170432. Its totient is φ = 38698964049600.

The previous prime is 132114112431089. The next prime is 132114112431131. The reversal of 132114112431114 is 411134211411231.

It is a happy number.

It is a super-2 number, since 2×1321141124311142 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35019742 + ... + 38608425.

It is an arithmetic number, because the mean of its divisors is an integer number (4654478268288).

Almost surely, 2132114112431114 is an apocalyptic number.

132114112431114 is an abundant number, since it is smaller than the sum of its proper divisors (165772496739318).

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

132114112431114 is a wasteful number, since it uses less digits than its factorization.

132114112431114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73629091.

The product of its digits is 2304, while the sum is 30.

Adding to 132114112431114 its reverse (411134211411231), we get a palindrome (543248323842345).

The spelling of 132114112431114 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred twelve million, four hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 877 1023 1754 2046 2631 5262 9647 19294 27187 28941 54374 57882 81561 163122 299057 598114 897171 1794342 73628167 147256334 220884501 441769002 809909837 1619819674 2282473177 2429729511 4564946354 4859459022 6847419531 13694839062 25107204947 50214409894 64571902459 75321614841 129143804918 150643229682 193715707377 387431414754 710290927049 1420581854098 2001728976229 2130872781147 4003457952458 4261745562294 6005186928687 12010373857374 22019018738519 44038037477038 66057056215557 132114112431114