Search a number
-
+
301021210131201 = 33710175412091149
BaseRepresentation
bin100010001110001101111011…
…0010011001011101100000001
31110110211100100200222022112000
41010130123312103023230001
5303423412414243144301
62544115122421254213
7120256031130405240
oct10434336623135401
91413740320868460
10301021210131201
1187a0741856a96a
1229917b16264369
13cbc72419a8c41
14544970bb70957
1524c03bc1cd786
hex111c6f64cbb01

301021210131201 has 64 divisors (see below), whose sum is σ = 514780235712000. Its totient is φ = 170286363936000.

The previous prime is 301021210131193. The next prime is 301021210131209. The reversal of 301021210131201 is 102131012120103.

301021210131201 is a `hidden beast` number, since 30 + 10 + 212 + 101 + 312 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (301021210131193) and next prime (301021210131209).

It is not a de Polignac number, because 301021210131201 - 23 = 301021210131193 is a prime.

It is a super-2 number, since 2×3010212101312012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (301021210131209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142904575 + ... + 144995723.

It is an arithmetic number, because the mean of its divisors is an integer number (8043441183000).

Almost surely, 2301021210131201 is an apocalyptic number.

It is an amenable number.

301021210131201 is a deficient number, since it is larger than the sum of its proper divisors (213759025580799).

301021210131201 is a wasteful number, since it uses less digits than its factorization.

301021210131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098807 (or 2098801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 301021210131201 its reverse (102131012120103), we get a palindrome (403152222251304).

The spelling of 301021210131201 in words is "three hundred one trillion, twenty-one billion, two hundred ten million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 101 189 303 707 909 2121 2727 6363 7541 19089 22623 52787 67869 158361 203607 475083 761641 1425249 2091149 2284923 5331487 6273447 6854769 14638043 15994461 18820341 20564307 43914129 47983383 56461023 131742387 143950149 211206049 395227161 633618147 1478442343 1900854441 4435327029 5702563323 13305981087 15769354609 39917943261 47308063827 110385482263 141924191481 331156446789 425772574443 993469340367 1592704815509 2980408021101 4778114446527 11148933708563 14334343339581 33446801125689 43003030018743 100340403377067 301021210131201