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301431301430 = 2577397608129
BaseRepresentation
bin1000110001011101011…
…01001010010100110110
31001211001021011200012012
410120232231022110312
514414312403121210
6350250422524222
730530514533660
oct4305655122466
91054037150165
10301431301430
11106922125246
124a504896672
132256a51982c
1410837281530
157c93188305
hex462eb4a536

301431301430 has 64 divisors (see below), whose sum is σ = 635062861440. Its totient is φ = 100881137664.

The previous prime is 301431301399. The next prime is 301431301453. The reversal of 301431301430 is 34103134103.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 301431301396 and 301431301405.

It is a congruent number.

It is an unprimeable number.

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, 191606 + ... + 799734.

It is an arithmetic number, because the mean of its divisors is an integer number (9922857210).

Almost surely, 2301431301430 is an apocalyptic number.

301431301430 is an abundant number, since it is smaller than the sum of its proper divisors (333631560010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301431301430 is a wasteful number, since it uses less digits than its factorization.

301431301430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608313.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 301431301430 its reverse (34103134103), we get a palindrome (335534435533).

The spelling of 301431301430 in words is "three hundred one billion, four hundred thirty-one million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 73 97 146 194 365 485 511 679 730 970 1022 1358 2555 3395 5110 6790 7081 14162 35405 49567 70810 99134 247835 495670 608129 1216258 3040645 4256903 6081290 8513806 21284515 42569030 44393417 58988513 88786834 117977026 221967085 294942565 310753919 412919591 443934170 589885130 621507838 825839182 1553769595 2064597955 3107539190 4129195910 4306161449 8612322898 21530807245 30143130143 43061614490 60286260286 150715650715 301431301430