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301414434101 = 11288114231987
BaseRepresentation
bin1000110001011011011…
…00110100010100110101
31001211000002102201120022
410120231230310110311
514414244043342401
6350245021214525
730530221263044
oct4305554642465
91054002381508
10301414434101
11106913654600
124a4bb101445
1322566b92271
1410834d3055b
157c9195571b
hex462db34535

301414434101 has 24 divisors (see below), whose sum is σ = 332082963072. Its totient is φ = 273372105600.

The previous prime is 301414434053. The next prime is 301414434103. The reversal of 301414434101 is 101434414103.

It is a happy number.

It is not a de Polignac number, because 301414434101 - 26 = 301414434037 is a prime.

It is a super-2 number, since 2×3014144341012 (a number of 24 digits) contains 22 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 (301414434103) 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 23 ways as a sum of consecutive naturals, for example, 151692230 + ... + 151694216.

It is an arithmetic number, because the mean of its divisors is an integer number (13836790128).

Almost surely, 2301414434101 is an apocalyptic number.

It is an amenable number.

301414434101 is a deficient number, since it is larger than the sum of its proper divisors (30668528971).

301414434101 is a wasteful number, since it uses less digits than its factorization.

301414434101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 301414434101 its reverse (101434414103), we get a palindrome (402848848204).

The spelling of 301414434101 in words is "three hundred one billion, four hundred fourteen million, four hundred thirty-four thousand, one hundred one".

Divisors: 1 11 121 881 1423 1987 9691 15653 21857 106601 172183 240427 1253663 1750547 2827501 13790293 19256017 31102511 151693223 211816187 342127621 2491028381 27401312191 301414434101