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131110111120 = 24531119312729
BaseRepresentation
bin111101000011011000…
…1011000011110010000
3110112102021210201210111
41322012301120132100
54122003142023440
6140121532411104
712321013361632
oct1720661303620
9415367721714
10131110111120
115067027003a
12214b0616a94
13c495b85811
1464baabaa52
1536255454ea
hex1e86c58790

131110111120 has 80 divisors (see below), whose sum is σ = 306081659520. Its totient is φ = 52229196800.

The previous prime is 131110111117. The next prime is 131110111141. The reversal of 131110111120 is 21111011131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1311101111202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131110111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48041916 + ... + 48044644.

It is an arithmetic number, because the mean of its divisors is an integer number (3826020744).

Almost surely, 2131110111120 is an apocalyptic number.

131110111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110111120 is an abundant number, since it is smaller than the sum of its proper divisors (174971548400).

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

131110111120 is a wasteful number, since it uses less digits than its factorization.

131110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 131110111120 its reverse (21111011131), we get a palindrome (152221122251).

The spelling of 131110111120 in words is "one hundred thirty-one billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1244 1555 1931 2488 2729 3110 3862 4976 5458 6220 7724 9655 10916 12440 13645 15448 19310 21832 24880 27290 30896 38620 43664 54580 77240 109160 154480 218320 600541 848719 1201082 1697438 2402164 3002705 3394876 4243595 4804328 5269699 6005410 6789752 8487190 9608656 10539398 12010820 13579504 16974380 21078796 24021640 26348495 33948760 42157592 48043280 52696990 67897520 84315184 105393980 210787960 421575920 1638876389 3277752778 6555505556 8194381945 13111011112 16388763890 26222022224 32777527780 65555055560 131110111120