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300013112113 = 111325117414801
BaseRepresentation
bin1000101110110100010…
…11001100101100110001
31001200101102121012011221
410113122023030230301
514403411324041423
6345454002105041
730450414243151
oct4273213145461
91050342535157
10300013112113
11106264642660
124a18994b181
13223a276cb60
1410740b96761
157c0d8ede5d
hex45da2ccb31

300013112113 has 32 divisors (see below), whose sum is σ = 354144196224. Its totient is φ = 250560000000.

The previous prime is 300013112101. The next prime is 300013112131. The reversal of 300013112113 is 311211310003.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300013112113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (300013112513) 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 31 ways as a sum of consecutive naturals, for example, 62487313 + ... + 62492113.

It is an arithmetic number, because the mean of its divisors is an integer number (11067006132).

Almost surely, 2300013112113 is an apocalyptic number.

It is an amenable number.

300013112113 is a deficient number, since it is larger than the sum of its proper divisors (54131084111).

300013112113 is a wasteful number, since it uses less digits than its factorization.

300013112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 300013112113 its reverse (311211310003), we get a palindrome (611224422116).

The spelling of 300013112113 in words is "three hundred billion, thirteen million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 11 13 143 251 1741 2761 3263 4801 19151 22633 35893 52811 62413 248963 436991 686543 1205051 4806901 5680883 8358541 13255561 15665663 62489713 91943951 108661033 172322293 1195271363 2097993791 23077931701 27273919283 300013112113