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300021314224131 = 32143923165880181
BaseRepresentation
bin100010000110111100010011…
…1110111000000000000000011
31110100021202110020102100200200
41010031320213313000000003
5303311022122420133011
62542031520010020243
7120123552565416153
oct10415704767000003
91410252406370620
10300021314224131
1187661363381595
1229796183117683
13cb53b72157b66
1454131754a2763
1524a4399b79856
hex110de27dc0003

300021314224131 has 12 divisors (see below), whose sum is σ = 433665277007040. Its totient is φ = 199875214193040.

The previous prime is 300021314224127. The next prime is 300021314224147. The reversal of 300021314224131 is 131422413120003.

300021314224131 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 213 + 14 + 22 + 413 + 1 = 666.

It is not a de Polignac number, because 300021314224131 - 22 = 300021314224127 is a prime.

It is a super-2 number, since 2×3000213142241312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300021314224095 and 300021314224104.

It is not an unprimeable number, because it can be changed into a prime (300021314224171) by changing a digit.

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, 11582927140 + ... + 11582953041.

It is an arithmetic number, because the mean of its divisors is an integer number (36138773083920).

Almost surely, 2300021314224131 is an apocalyptic number.

300021314224131 is a deficient number, since it is larger than the sum of its proper divisors (133643962782909).

300021314224131 is a wasteful number, since it uses less digits than its factorization.

300021314224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23165881626 (or 23165881623 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 300021314224131 its reverse (131422413120003), we get a palindrome (431443727344134).

The spelling of 300021314224131 in words is "three hundred trillion, twenty-one billion, three hundred fourteen million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 1439 4317 12951 23165880181 69497640543 208492921629 33335701580459 100007104741377 300021314224131