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132102031110 = 235723194914033
BaseRepresentation
bin111101100000111100…
…1010000011100000110
3110121222102021111012220
41323001321100130012
54131021104443420
6140404204553210
712354416510640
oct1730171203406
9417872244186
10132102031110
115102a175225
1221728852806
13c5c352401a
146572723890
15368267c840
hex1ec1e50706

132102031110 has 128 divisors (see below), whose sum is σ = 378311731200. Its totient is φ = 28865058816.

The previous prime is 132102031093. The next prime is 132102031141. The reversal of 132102031110 is 11130201231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132102031110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9406654 + ... + 9420686.

It is an arithmetic number, because the mean of its divisors is an integer number (2955560400).

Almost surely, 2132102031110 is an apocalyptic number.

132102031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132102031110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189155865600).

132102031110 is an abundant number, since it is smaller than the sum of its proper divisors (246209700090).

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

132102031110 is a wasteful number, since it uses less digits than its factorization.

132102031110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132102031110 its reverse (11130201231), we get a palindrome (143232232341).

The spelling of 132102031110 in words is "one hundred thirty-two billion, one hundred two million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 1949 2415 3898 4830 5847 9745 11694 13643 14033 19490 27286 28066 29235 40929 42099 44827 58470 68215 70165 81858 84198 89654 98231 134481 136430 140330 196462 204645 210495 224135 268962 294693 313789 322759 409290 420990 448270 491155 589386 627578 645518 672405 941367 968277 982310 1344810 1473465 1568945 1613795 1882734 1936554 2259313 2946930 3137890 3227590 4518626 4706835 4841385 6777939 9413670 9682770 11296565 13555878 22593130 27350317 33889695 54700634 67779390 82050951 136751585 164101902 191452219 273503170 382904438 410254755 574356657 629057291 820509510 957261095 1148713314 1258114582 1887171873 1914522190 2871783285 3145286455 3774343746 4403401037 5743566570 6290572910 8806802074 9435859365 13210203111 18871718730 22017005185 26420406222 44034010370 66051015555 132102031110