Search a number
-
+
11306223135 = 33589941009
BaseRepresentation
bin10101000011110011…
…10100011000011111
31002011221122122102000
422201321310120133
5141123343120020
65105523333343
7550115211444
oct124171643037
932157578360
1011306223135
114882082869
122236521253
1310b24c3b7c
147938239cb
154628cc090
hex2a1e7461f

11306223135 has 32 divisors (see below), whose sum is σ = 20325816000. Its totient is φ = 5962226688.

The previous prime is 11306223067. The next prime is 11306223139. The reversal of 11306223135 is 53132260311.

11306223135 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 622 + 3 + 1 + 35 = 666.

It is not a de Polignac number, because 11306223135 - 210 = 11306222111 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 = 11306223099 and 11306223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306223139) 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, 458490 + ... + 482519.

It is an arithmetic number, because the mean of its divisors is an integer number (635181750).

Almost surely, 211306223135 is an apocalyptic number.

11306223135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11306223135 is a deficient number, since it is larger than the sum of its proper divisors (9019592865).

11306223135 is an equidigital number, since it uses as much as digits as its factorization.

11306223135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941112 (or 941106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 11306223135 its reverse (53132260311), we get a palindrome (64438483446).

The spelling of 11306223135 in words is "eleven billion, three hundred six million, two hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 89 135 267 445 801 1335 2403 4005 12015 941009 2823027 4705045 8469081 14115135 25407243 42345405 83749801 127036215 251249403 418749005 753748209 1256247015 2261244627 3768741045 11306223135