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31314341131110 = 232529112991061849
BaseRepresentation
bin1110001111010111100000…
…01011011111001101100110
311002212121210021102011012100
413013223300023133031212
513101023232312143420
6150333335411032530
76411246364564512
oct707536013371546
9132777707364170
1031314341131110
119a83379229314
123618b1959b746
131461c1171498b
147a389d44b142
15394857c68190
hex1c7af02df366

31314341131110 has 96 divisors (see below), whose sum is σ = 84232313100000. Its totient is φ = 8061821849088.

The previous prime is 31314341131109. The next prime is 31314341131123. The reversal of 31314341131110 is 1113114341313.

31314341131110 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 341 + 1 + 311 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28959466 + ... + 30021314.

It is an arithmetic number, because the mean of its divisors is an integer number (877419928125).

Almost surely, 231314341131110 is an apocalyptic number.

31314341131110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31314341131110 is an abundant number, since it is smaller than the sum of its proper divisors (52917971968890).

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

31314341131110 is a wasteful number, since it uses less digits than its factorization.

31314341131110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073190 (or 1073187 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 31314341131110 its reverse (1113114341313), we get a palindrome (32427455472423).

The spelling of 31314341131110 in words is "thirty-one trillion, three hundred fourteen billion, three hundred forty-one million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 11299 22598 33897 56495 67794 101691 112990 169485 203382 327671 338970 508455 655342 983013 1016910 1061849 1638355 1966026 2123698 2949039 3185547 3276710 4915065 5309245 5898078 6371094 9556641 9830130 10618490 14745195 15927735 19113282 29490390 30793621 31855470 47783205 61587242 92380863 95566410 153968105 184761726 277142589 307936210 461904315 554285178 923808630 1385712945 2771425890 11997831851 23995663702 35993495553 59989159255 71986991106 107980486659 119978318510 179967477765 215960973318 347937123679 359934955530 539902433295 695874247358 1043811371037 1079804866590 1739685618395 2087622742074 3131434113111 3479371236790 5219056855185 6262868226222 10438113710370 15657170565555 31314341131110