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300300113101 = 3737321759301
BaseRepresentation
bin1000101111010110100…
…10000001010011001101
31001201010102122100112011
410113223102001103031
514410003312104401
6345542253341221
730460500562552
oct4275322012315
91051112570464
10300300113101
111063a164875a
124a249a97811
132241a069021
141076ad44a29
157c28be1451
hex45eb4814cd

300300113101 has 8 divisors (see below), whose sum is σ = 309243200024. Its totient is φ = 291400545600.

The previous prime is 300300113089. The next prime is 300300113117. The reversal of 300300113101 is 101311003003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110374115076 + 189925998025 = 332226^2 + 435805^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 300300113101 - 211 = 300300111053 is a prime.

It is a super-3 number, since 3×3003001131013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300300113171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10865850 + ... + 10893451.

It is an arithmetic number, because the mean of its divisors is an integer number (38655400003).

Almost surely, 2300300113101 is an apocalyptic number.

It is an amenable number.

300300113101 is a deficient number, since it is larger than the sum of its proper divisors (8943086923).

300300113101 is a wasteful number, since it uses less digits than its factorization.

300300113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21759711.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 300300113101 its reverse (101311003003), we get a palindrome (401611116104).

The spelling of 300300113101 in words is "three hundred billion, three hundred million, one hundred thirteen thousand, one hundred one".

Divisors: 1 37 373 13801 21759301 805094137 8116219273 300300113101