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331131000030131 = 7247672146006831
BaseRepresentation
bin100101101001010010111000…
…1101000011000001110110011
31121102102210222201201210220002
41023102211301220120032303
5321400222242001431011
63132131251551140215
7126514265603620400
oct11322456150301663
91542383881653802
10331131000030131
1196565960a49a84
123117b4a5b1466b
131129c699c32212
145baab7c44d2a7
1528437258ecc3b
hex12d2971a183b3

331131000030131 has 24 divisors (see below), whose sum is σ = 399260279079936. Its totient is φ = 273641622906960.

The previous prime is 331131000030067. The next prime is 331131000030161. The reversal of 331131000030131 is 131030000131133.

It is not a de Polignac number, because 331131000030131 - 26 = 331131000030067 is a prime.

It is a super-2 number, since 2×3311310000301312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331131000030161) 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 23 ways as a sum of consecutive naturals, for example, 1072849115 + ... + 1073157716.

It is an arithmetic number, because the mean of its divisors is an integer number (16635844961664).

Almost surely, 2331131000030131 is an apocalyptic number.

331131000030131 is a deficient number, since it is larger than the sum of its proper divisors (68129279049805).

331131000030131 is a wasteful number, since it uses less digits than its factorization.

331131000030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146006959 (or 2146006952 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 331131000030131 its reverse (131030000131133), we get a palindrome (462161000161264).

The spelling of 331131000030131 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, thirty thousand, one hundred thirty-one".

Divisors: 1 7 47 49 67 329 469 2303 3149 3283 22043 154301 2146006831 15022047817 100862321057 105154334719 143782457677 706036247399 1006477203739 4942253731793 6757775510819 7045340426173 47304428575733 331131000030131