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120132110014 = 27231879198553
BaseRepresentation
bin110111111100001101…
…1101000011010111110
3102111002012202111100221
41233320123220122332
53432012310010024
6131104332011554
711451662041540
oct1577033503276
9374065674327
10120132110014
1146a47498354
121b348000bba
13b436691387
145b58ad5690
1531d189e3e4
hex1bf86e86be

120132110014 has 32 divisors (see below), whose sum is σ = 215010155520. Its totient is φ = 49220246592.

The previous prime is 120132110011. The next prime is 120132110029. The reversal of 120132110014 is 410011231021.

It is a super-3 number, since 3×1201321100143 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120132110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505762 + ... + 704314.

It is an arithmetic number, because the mean of its divisors is an integer number (6719067360).

Almost surely, 2120132110014 is an apocalyptic number.

120132110014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120132110014 is a deficient number, since it is larger than the sum of its proper divisors (94878045506).

120132110014 is a wasteful number, since it uses less digits than its factorization.

120132110014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200464.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120132110014 its reverse (410011231021), we get a palindrome (530143341035).

The spelling of 120132110014 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred ten thousand, fourteen".

Divisors: 1 2 7 14 23 46 161 322 1879 3758 13153 26306 43217 86434 198553 302519 397106 605038 1389871 2779742 4566719 9133438 31967033 63934066 373081087 746162174 2611567609 5223135218 8580865001 17161730002 60066055007 120132110014