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11303114580 = 2232562795081
BaseRepresentation
bin10101000011011011…
…11101011101010100
31002011201210201021100
422201231331131110
5141122044131310
65105332550100
7550046613552
oct124155753524
932151721240
1011303114580
11488034a30a
122235482330
1310b1975ca4
14793254bd2
154624b5ec0
hex2a1b7d754

11303114580 has 36 divisors (see below), whose sum is σ = 34286114772. Its totient is φ = 3014163840.

The previous prime is 11303114551. The next prime is 11303114609. The reversal of 11303114580 is 8541130311.

11303114580 is a `hidden beast` number, since 11 + 30 + 31 + 14 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (11303114551) and next prime (11303114609).

It can be written as a sum of positive squares in 2 ways, for example, as 3487847364 + 7815267216 = 59058^2 + 88404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31397361 + ... + 31397720.

It is an arithmetic number, because the mean of its divisors is an integer number (952392077).

Almost surely, 211303114580 is an apocalyptic number.

11303114580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303114580 is an abundant number, since it is smaller than the sum of its proper divisors (22983000192).

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

11303114580 is a wasteful number, since it uses less digits than its factorization.

11303114580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62795096 (or 62795091 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11303114580 its reverse (8541130311), we get a palindrome (19844244891).

The spelling of 11303114580 in words is "eleven billion, three hundred three million, one hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62795081 125590162 188385243 251180324 313975405 376770486 565155729 627950810 753540972 941926215 1130311458 1255901620 1883852430 2260622916 2825778645 3767704860 5651557290 11303114580