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300113032221 = 32293736738461
BaseRepresentation
bin1000101111000000010…
…00010111010000011101
31001200122101121122210200
410113200020113100131
514404112414012341
6345511531454113
730453036453342
oct4274010272035
91050571548720
10300113032221
11106305a8a062
124a1b72b7339
13223ba386192
14107501667c9
157c17589db6
hex45e021741d

300113032221 has 48 divisors (see below), whose sum is σ = 460744730160. Its totient is φ = 187881845760.

The previous prime is 300113032213. The next prime is 300113032237. The reversal of 300113032221 is 122230311003.

300113032221 is a `hidden beast` number, since 300 + 11 + 30 + 322 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7653800196 + 292459232025 = 87486^2 + 540795^2 .

It is not a de Polignac number, because 300113032221 - 23 = 300113032213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300113032194 and 300113032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300113032211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35465931 + ... + 35474391.

It is an arithmetic number, because the mean of its divisors is an integer number (9598848545).

Almost surely, 2300113032221 is an apocalyptic number.

It is an amenable number.

300113032221 is a deficient number, since it is larger than the sum of its proper divisors (160631697939).

300113032221 is a wasteful number, since it uses less digits than its factorization.

300113032221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300113032221 its reverse (122230311003), we get a palindrome (422343343224).

The spelling of 300113032221 in words is "three hundred billion, one hundred thirteen million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 3673 8461 9657 11019 25383 33057 76149 106517 135901 245369 313057 319551 407703 736107 939171 958653 1223109 2208321 2817513 3941129 9078653 11823387 27235959 31077253 35470161 81707877 93231759 279695277 901240337 1149858361 2703721011 3449575083 8111163033 10348725249 33345892469 100037677407 300113032221