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331213031023224 = 2337191011027361197
BaseRepresentation
bin100101101001111001000101…
…1000011110010001001111000
31121102201122201121112000122110
41023103302023003302021320
5321403043241420220344
63132233055500052320
7126523231446556560
oct11323621303621170
91542648647460573
10331213031023224
1196597726341249
1231193379b340a0
13112a7340a7339c
145bb0b20c2dda0
1528459273523b9
hex12d3c8b0f2278

331213031023224 has 128 divisors (see below), whose sum is σ = 1005992085081600. Its totient is φ = 88764007334400.

The previous prime is 331213031023223. The next prime is 331213031023241. The reversal of 331213031023224 is 422320130312133.

It is a super-2 number, since 2×3312130310232242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331213031023191 and 331213031023200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213031023223) 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, 513358207 + ... + 514002990.

It is an arithmetic number, because the mean of its divisors is an integer number (7859313164700).

Almost surely, 2331213031023224 is an apocalyptic number.

It is an amenable number.

331213031023224 is an abundant number, since it is smaller than the sum of its proper divisors (674779054058376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331213031023224 is a wasteful number, since it uses less digits than its factorization.

331213031023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027361333 (or 1027361329 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 331213031023224 its reverse (422320130312133), we get a palindrome (753533161335357).

The spelling of 331213031023224 in words is "three hundred thirty-one trillion, two hundred thirteen billion, thirty-one million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 101 114 133 152 168 202 228 266 303 399 404 456 532 606 707 798 808 1064 1212 1414 1596 1919 2121 2424 2828 3192 3838 4242 5656 5757 7676 8484 11514 13433 15352 16968 23028 26866 40299 46056 53732 80598 107464 161196 322392 1027361197 2054722394 3082083591 4109444788 6164167182 7191528379 8218889576 12328334364 14383056758 19519862743 21574585137 24656668728 28766113516 39039725486 43149170274 57532227032 58559588229 78079450972 86298340548 103763480897 117119176458 136639039201 156158901944 172596681096 207526961794 234238352916 273278078402 311290442691 409917117603 415053923588 468476705832 546556156804 622580885382 726344366279 819834235206 830107847176 1093112313608 1245161770764 1452688732558 1639668470412 1971506137043 2179033098837 2490323541528 2905377465116 3279336940824 3943012274086 4358066197674 5810754930232 5914518411129 7886024548172 8716132395348 11829036822258 13800542959301 15772049096344 17432264790696 23658073644516 27601085918602 41401628877903 47316147289032 55202171837204 82803257755806 110404343674408 165606515511612 331213031023224