Search a number
-
+
1101132104352 = 25371638589441
BaseRepresentation
bin10000000001100000100…
…101101000001010100000
310220021012210022121221120
4100001200211220022200
5121020104304314402
62201504134252240
7142361036312220
oct20014045501240
93807183277846
101101132104352
11394a95403825
121594a6ab7080
137cab44b99c7
143b41b9a2080
151d99a0793bc
hex100609682a0

1101132104352 has 48 divisors (see below), whose sum is σ = 3303396315072. Its totient is φ = 314609172480.

The previous prime is 1101132104323. The next prime is 1101132104383. The reversal of 1101132104352 is 2534012311011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11011321043522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819294049 + ... + 819295392.

It is an arithmetic number, because the mean of its divisors is an integer number (68820756564).

Almost surely, 21101132104352 is an apocalyptic number.

1101132104352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101132104352 is an abundant number, since it is smaller than the sum of its proper divisors (2202264210720).

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

1101132104352 is a wasteful number, since it uses less digits than its factorization.

1101132104352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638589461 (or 1638589453 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1101132104352 its reverse (2534012311011), we get a palindrome (3635144415363).

The spelling of 1101132104352 in words is "one trillion, one hundred one billion, one hundred thirty-two million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1638589441 3277178882 4915768323 6554357764 9831536646 11470126087 13108715528 19663073292 22940252174 26217431056 34410378261 39326146584 45880504348 52434862112 68820756522 78652293168 91761008696 137641513044 157304586336 183522017392 275283026088 367044034784 550566052176 1101132104352