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331023311002031 = 6144972775721961
BaseRepresentation
bin100101101000100000101111…
…0110111010101100110101111
31121102001112000200211100222212
41023101001132313111212233
5321341441220104031111
63132010002033401035
7126503434143156344
oct11321013667254657
91542045020740885
10331023311002031
119652421a3342aa
123116265110917b
131129249744c50b
145ba58841527cb
152840a2164298b
hex12d105edd59af

331023311002031 has 32 divisors (see below), whose sum is σ = 338124527395200. Its totient is φ = 323981354188800.

The previous prime is 331023311001967. The next prime is 331023311002061. The reversal of 331023311002031 is 130200113320133.

It is not a de Polignac number, because 331023311002031 - 26 = 331023311001967 is a prime.

It is a super-2 number, since 2×3310233110020312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331023311001988 and 331023311002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331023311002061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15073223891 + ... + 15073245851.

It is an arithmetic number, because the mean of its divisors is an integer number (10566391481100).

Almost surely, 2331023311002031 is an apocalyptic number.

331023311002031 is a deficient number, since it is larger than the sum of its proper divisors (7101216393169).

331023311002031 is a wasteful number, since it uses less digits than its factorization.

331023311002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 331023311002031 its reverse (130200113320133), we get a palindrome (461223424322164).

The spelling of 331023311002031 in words is "three hundred thirty-one trillion, twenty-three billion, three hundred eleven million, two thousand, thirty-one".

Divisors: 1 61 449 727 757 21961 27389 44347 46177 326423 339893 550339 1339621 9860489 15965647 16624477 19911803 20733473 33570679 247102211 601489829 973904467 1014093097 7168575503 7464390173 12085994779 15073234871 437283105683 455327800553 737245681519 5426611655771 331023311002031