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331300313331012 = 223231194253369371
BaseRepresentation
bin100101101010100001101110…
…1011111010111010101000100
31121110001000000110120122220200
41023111003131133113111010
5321411011020203043022
63132341132434530500
7126532441416132324
oct11325033537272504
91543030013518820
10331300313331012
1196620745991a13
12311a8278736a30
13112b264082605c
145bb5040c11284
152847d34d01bac
hex12d50dd7d7544

331300313331012 has 72 divisors (see below), whose sum is σ = 837753842540160. Its totient is φ = 110393844133440.

The previous prime is 331300313330927. The next prime is 331300313331017. The reversal of 331300313331012 is 210133313003133.

331300313331012 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 0 + 0 + 313 + 331 + 0 + 12 = 666.

It is a super-2 number, since 2×3313003133310122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331300313331017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4775740687 + ... + 4775810057.

It is an arithmetic number, because the mean of its divisors is an integer number (11635470035280).

Almost surely, 2331300313331012 is an apocalyptic number.

It is an amenable number.

331300313331012 is an abundant number, since it is smaller than the sum of its proper divisors (506453529209148).

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

331300313331012 is a wasteful number, since it uses less digits than its factorization.

331300313331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115033 (or 115028 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 331300313331012 its reverse (210133313003133), we get a palindrome (541433626334145).

The spelling of 331300313331012 in words is "three hundred thirty-one trillion, three hundred billion, three hundred thirteen million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3119 6238 9357 12476 18714 28071 37428 42533 56142 69371 85066 112284 127599 138742 170132 208113 255198 277484 382797 416226 510396 624339 765594 832452 1248678 1531188 2497356 132660427 216368149 265320854 397981281 432736298 530641708 649104447 795962562 865472596 1193943843 1298208894 1591925124 1947313341 2387887686 2596417788 2950556743 3894626682 4775775372 5901113486 7789253364 8851670229 11802226972 17703340458 26555010687 35406680916 53110021374 106220042748 9202786481417 18405572962834 27608359444251 36811145925668 55216718888502 82825078332753 110433437777004 165650156665506 331300313331012