Search a number
-
+
110130132332133 = 3347249433347929
BaseRepresentation
bin11001000010100110101011…
…011010101010111001100101
3112102221100010021111012022000
4121002212223122222321211
5103413333002334112013
61030121030115155513
732124432226220064
oct3102465332527145
9472840107435260
10110130132332133
11320aaa21684421
1210427b5a5a5b99
13495b2c46ca114
141d2a480c161db
15caeb0deb5973
hex6429ab6aae65

110130132332133 has 32 divisors (see below), whose sum is σ = 166628297510400. Its totient is φ = 71857464069888.

The previous prime is 110130132332093. The next prime is 110130132332159. The reversal of 110130132332133 is 331233231031011.

110130132332133 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 301 + 3 + 2 + 3 + 321 + 33 = 666.

It is not a de Polignac number, because 110130132332133 - 213 = 110130132323941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110130132332097 and 110130132332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130132332183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316356513 + ... + 316704441.

It is an arithmetic number, because the mean of its divisors is an integer number (5207134297200).

Almost surely, 2110130132332133 is an apocalyptic number.

It is an amenable number.

110130132332133 is a deficient number, since it is larger than the sum of its proper divisors (56498165178267).

110130132332133 is a wasteful number, since it uses less digits than its factorization.

110130132332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597418 (or 597412 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 110130132332133 its reverse (331233231031011), we get a palindrome (441363363363144).

The spelling of 110130132332133 in words is "one hundred ten trillion, one hundred thirty billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 47 141 423 1269 249433 347929 748299 1043787 2244897 3131361 6734691 9394083 11723351 16352663 35170053 49057989 105510159 147173967 316530477 441521901 86784974257 260354922771 781064768313 2343194304939 4078893790079 12236681370237 36710044110711 110130132332133