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300431301093 = 3271114912592311
BaseRepresentation
bin1000101111100110001…
…10011101100111100101
31001201110120111101121200
410113303012131213211
514410240403113333
6350003301233113
730463652632050
oct4276306354745
91051416441550
10300431301093
11106459701190
124a285a02799
132243b2ac461
1410780533a97
157c354a6c13
hex45f319d9e5

300431301093 has 96 divisors (see below), whose sum is σ = 545336064000. Its totient is φ = 154830614400.

The previous prime is 300431301047. The next prime is 300431301101. The reversal of 300431301093 is 390103134003.

It is not a de Polignac number, because 300431301093 - 217 = 300431170021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300431301043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129999408 + ... + 130001718.

It is an arithmetic number, because the mean of its divisors is an integer number (5680584000).

Almost surely, 2300431301093 is an apocalyptic number.

300431301093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

300431301093 is a deficient number, since it is larger than the sum of its proper divisors (244904762907).

300431301093 is a wasteful number, since it uses less digits than its factorization.

300431301093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 300431301093 its reverse (390103134003), we get a palindrome (690534435096).

The spelling of 300431301093 in words is "three hundred billion, four hundred thirty-one million, three hundred one thousand, ninety-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 149 231 447 693 1043 1259 1341 1639 2311 3129 3777 4917 6933 8813 9387 11331 11473 13849 14751 16177 20799 25421 26439 34419 41547 48531 76263 79317 96943 103257 124641 145593 177947 187591 228789 290829 344339 533841 562773 872487 1033017 1313137 1601523 1688319 2063501 2410373 2909549 3099051 3787729 3939411 6190503 7231119 8728647 11363187 11818233 14444507 18571509 20366843 21693357 26185941 26514103 32005039 34089561 43333521 61100529 79542309 96015117 130000563 183301587 224035273 238626927 288045351 433522801 672105819 1300568403 2016317457 3034659607 3901705209 4768750811 9103978821 14306252433 27311936463 33381255677 42918757299 100143767031 300431301093