Search a number
-
+
300531105336 = 2337211109213139
BaseRepresentation
bin1000101111110010000…
…11001011111000111000
31001201201112021222022010
410113321003023320320
514410441430332321
6350021224325520
730466304150400
oct4277103137070
91051645258263
10300531105336
111064aaa79630
124a2b33138a0
1322455b84b17
141078d8b3800
157c3e11d676
hex45f90cbe38

300531105336 has 192 divisors, whose sum is σ = 962199216000. Its totient is φ = 77343517440.

The previous prime is 300531105323. The next prime is 300531105373. The reversal of 300531105336 is 633501135003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303455 + ... + 1516593.

It is an arithmetic number, because the mean of its divisors is an integer number (5011454250).

Almost surely, 2300531105336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300531105336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481099608000).

300531105336 is an abundant number, since it is smaller than the sum of its proper divisors (661668110664).

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

300531105336 is a wasteful number, since it uses less digits than its factorization.

300531105336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213282 (or 213271 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

The spelling of 300531105336 in words is "three hundred billion, five hundred thirty-one million, one hundred five thousand, three hundred thirty-six".