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3331321012112 = 2417196722942013
BaseRepresentation
bin110000011110100010001…
…101001001111110010000
3102210110201111012120111212
4300132202031021332100
5414040021134341422
611030215430355252
7462452145251522
oct60364215117620
912713644176455
103331321012112
111074894955a55
124597707bbb28
131b21b0607872
14b7345ab3a12
155b9c69bc9e2
hex307a2349f90

3331321012112 has 160 divisors (see below), whose sum is σ = 7333224393600. Its totient is φ = 1456580911104.

The previous prime is 3331321012109. The next prime is 3331321012181. The reversal of 3331321012112 is 2112101231333.

It is a super-2 number, since 2×33313210121122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79271618 + ... + 79313630.

It is an arithmetic number, because the mean of its divisors is an integer number (45832652460).

Almost surely, 23331321012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331321012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666612196800).

3331321012112 is an abundant number, since it is smaller than the sum of its proper divisors (4001903381488).

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

3331321012112 is a wasteful number, since it uses less digits than its factorization.

3331321012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42353 (or 42347 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3331321012112 its reverse (2112101231333), we get a palindrome (5443422243445).

The spelling of 3331321012112 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 34 38 67 68 76 134 136 152 229 268 272 304 323 458 536 646 916 1072 1139 1273 1292 1832 2278 2546 2584 3664 3893 4351 4556 5092 5168 7786 8702 9112 10184 15343 15572 17404 18224 20368 21641 30686 31144 34808 42013 43282 61372 62288 69616 73967 84026 86564 122744 147934 168052 173128 245488 260831 291517 295868 336104 346256 521662 583034 591736 672208 714221 798247 1043324 1166068 1183472 1428442 1596494 2086648 2332136 2814871 2856884 3192988 4173296 4664272 4955789 5629742 5713768 6385976 9620977 9911578 11259484 11427536 12771952 13570199 19241954 19823156 22518968 27140398 38483908 39646312 45037936 47852807 53482549 54280796 76967816 79292624 95705614 106965098 108561592 153935632 163556609 182798563 191411228 213930196 217123184 327113218 365597126 382822456 427860392 644605459 654226436 731194252 765644912 855720784 909203333 1289210918 1308452872 1462388504 1818406666 2578421836 2616905744 2924777008 3107575571 3636813332 5156843672 6215151142 7273626664 10313687344 10958292803 12247503721 12430302284 14547253328 21916585606 24495007442 24860604568 43833171212 48990014884 49721209136 87666342424 97980029768 175332684848 195960059536 208207563257 416415126514 832830253028 1665660506056 3331321012112