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110134502130 = 23573191281937
BaseRepresentation
bin110011010010010000…
…1110010001011110010
3101112021110111101121110
41212210201302023302
53301023413032010
6122332312334150
710646143551642
oct1464441621362
9345243441543
10110134502130
11427870675a4
12194179a4356
13a502330973
14548add6522
152ce8d15120
hex19a48722f2

110134502130 has 128 divisors (see below), whose sum is σ = 270593519616. Its totient is φ = 28682035200.

The previous prime is 110134502123. The next prime is 110134502131. The reversal of 110134502130 is 31205431011.

It is a junction number, because it is equal to n+sod(n) for n = 110134502097 and 110134502106.

It is not an unprimeable number, because it can be changed into a prime (110134502131) by changing a digit.

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, 117539022 + ... + 117539958.

It is an arithmetic number, because the mean of its divisors is an integer number (2114011872).

Almost surely, 2110134502130 is an apocalyptic number.

110134502130 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 110134502130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135296759808).

110134502130 is an abundant number, since it is smaller than the sum of its proper divisors (160459017486).

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

110134502130 is a wasteful number, since it uses less digits than its factorization.

110134502130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 110134502130 its reverse (31205431011), we get a palindrome (141339933141).

The spelling of 110134502130 in words is "one hundred ten billion, one hundred thirty-four million, five hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 191 219 281 365 382 438 562 573 730 843 937 955 1095 1146 1405 1686 1874 1910 2190 2810 2811 2865 4215 4685 5622 5730 8430 9370 13943 14055 20513 27886 28110 41026 41829 53671 61539 68401 69715 83658 102565 107342 123078 136802 139430 161013 178967 205130 205203 209145 263297 268355 307695 322026 342005 357934 410406 418290 526594 536710 536901 615390 684010 789891 805065 894835 1026015 1073802 1316485 1579782 1610130 1789670 2052030 2632970 2684505 3917983 3949455 5369010 7835966 7898910 11753949 13064591 19220681 19589915 23507898 26129182 38441362 39179830 39193773 50289727 57662043 58769745 65322955 78387546 96103405 100579454 115324086 117539490 130645910 150869181 192206810 195968865 251448635 288310215 301738362 391937730 502897270 576620430 754345905 1508691810 3671150071 7342300142 11013450213 18355750355 22026900426 36711500710 55067251065 110134502130