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2300102011431 = 327157286181281
BaseRepresentation
bin100001011110001000110…
…000110110101000100111
322010212222001201121002100
4201132020300312220213
5300141102103331211
64520352520343143
7325114446341010
oct41361060665047
98125861647070
102300102011431
11807516692854
12311937614ab3
13138b8b55c173
147d47b388007
153ec6e5dc156
hex21788c36a27

2300102011431 has 48 divisors (see below), whose sum is σ = 3822561108288. Its totient is φ = 1305499852800.

The previous prime is 2300102011373. The next prime is 2300102011439. The reversal of 2300102011431 is 1341102010032.

2300102011431 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 0 + 201 + 1 + 431 = 666.

It is not a de Polignac number, because 2300102011431 - 210 = 2300102010407 is a prime.

It is a super-2 number, since 2×23001020114312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300102011439) 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 47 ways as a sum of consecutive naturals, for example, 28257511 + ... + 28338791.

It is an arithmetic number, because the mean of its divisors is an integer number (79636689756).

Almost surely, 22300102011431 is an apocalyptic number.

2300102011431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2300102011431 is a deficient number, since it is larger than the sum of its proper divisors (1522459096857).

2300102011431 is a wasteful number, since it uses less digits than its factorization.

2300102011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84312 (or 84309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2300102011431 its reverse (1341102010032), we get a palindrome (3641204021463).

The spelling of 2300102011431 in words is "two trillion, three hundred billion, one hundred two million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 157 471 1099 1413 2861 3297 8583 9891 20027 25749 60081 81281 180243 243843 449177 568967 731529 1347531 1706901 3144239 4042593 5120703 9432717 12761117 28298151 38283351 89327819 114850053 232544941 267983457 697634823 803950371 1627814587 2092904469 4883443761 14650331283 36509555737 109528667211 255566890159 328586001633 766700670477 2300102011431