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301201331002121 = 11416740124857713
BaseRepresentation
bin100010001111100001110011…
…0010101110001101100001001
31110111110120021122011121111102
41010133003212111301230021
5303434340311214031441
62544333551540511145
7120305035524504554
oct10437034625615411
91414416248147442
10301201331002121
1187a76849059170
1229946a043ab4b5
13cc0b218690934
145454317a3169b
1524c4e1031069b
hex111f0e6571b09

301201331002121 has 32 divisors (see below), whose sum is σ = 342473276831616. Its totient is φ = 262497438720000.

The previous prime is 301201331002097. The next prime is 301201331002157. The reversal of 301201331002121 is 121200133102103.

It is a happy number.

It is not a de Polignac number, because 301201331002121 - 242 = 296803284491017 is a prime.

It is a super-2 number, since 2×3012013310021212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301201331002093 and 301201331002102.

It is not an unprimeable number, because it can be changed into a prime (301201331002321) 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 31 ways as a sum of consecutive naturals, for example, 311840 + ... + 24545873.

It is an arithmetic number, because the mean of its divisors is an integer number (10702289900988).

Almost surely, 2301201331002121 is an apocalyptic number.

It is an amenable number.

301201331002121 is a deficient number, since it is larger than the sum of its proper divisors (41271945829495).

301201331002121 is a wasteful number, since it uses less digits than its factorization.

301201331002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24858233.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 301201331002121 its reverse (121200133102103), we get a palindrome (422401464104224).

The spelling of 301201331002121 in words is "three hundred one trillion, two hundred one billion, three hundred thirty-one million, two thousand, one hundred twenty-one".

Divisors: 1 11 41 67 401 451 737 2747 4411 16441 26867 30217 180851 295537 1101547 12117017 24857713 273434843 1019166233 1665466771 9967942913 11210828563 18320134481 68284137611 109647372043 408685659433 667852175171 751125513721 4495542253763 7346373926881 27381939182011 301201331002121