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320331012012033 = 311239371439313009
BaseRepresentation
bin100100011010101101110000…
…0001011100111100000000001
31120000012100022222220120011020
41020311123200023213200001
5313441300403033341113
63053142011350340053
7124321103045263521
oct11065334013474001
91500170288816136
10320331012012033
119308168a2a5470
122bb1636795a629
1310998114464019
1459161647d7681
152707828783023
hex12356e02e7801

320331012012033 has 64 divisors (see below), whose sum is σ = 487052775014400. Its totient is φ = 185371450767360.

The previous prime is 320331012012029. The next prime is 320331012012041. The reversal of 320331012012033 is 330210210133023.

It is not a de Polignac number, because 320331012012033 - 22 = 320331012012029 is a prime.

It is a super-2 number, since 2×3203310120120332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320331012011994 and 320331012012012.

It is not an unprimeable number, because it can be changed into a prime (320331012012023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023235833 + ... + 1023548841.

It is an arithmetic number, because the mean of its divisors is an integer number (7610199609600).

Almost surely, 2320331012012033 is an apocalyptic number.

320331012012033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320331012012033 is a deficient number, since it is larger than the sum of its proper divisors (166721763002367).

320331012012033 is a wasteful number, since it uses less digits than its factorization.

320331012012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315422.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 320331012012033 its reverse (330210210133023), we get a palindrome (650541222145056).

The spelling of 320331012012033 in words is "three hundred twenty trillion, three hundred thirty-one billion, twelve million, twelve thousand, thirty-three".

Divisors: 1 3 11 23 33 69 253 759 937 1439 2811 4317 10307 15829 21551 30921 33097 47487 64653 99291 237061 313009 364067 711183 939027 1092201 1348343 3443099 4045029 7199207 10329297 14831773 21597621 31011889 44495319 79191277 93035667 237573831 293289433 341130779 450419951 879868299 1023392337 1351259853 3226183763 4954619461 6745656959 9678551289 10359658873 14863858383 20236970877 31078976619 74202226549 113956247603 222606679647 341868742809 422043494087 1266130482261 4642478434957 9707000364001 13927435304871 29121001092003 106777004004011 320331012012033