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131141430043110 = 232513996791083059
BaseRepresentation
bin11101110100010110111110…
…010110100110000111100110
3122012022222221202000022100200
4131310112332112212013212
5114142110122042334420
61142525312525051330
736423440614040634
oct3564267626460746
9565288852008320
10131141430043110
113887084a455873
12128601076b6b46
13582377877cc66
1424553c9b26354
15102645235cb90
hex7745be5a61e6

131141430043110 has 96 divisors (see below), whose sum is σ = 343456521408000. Its totient is φ = 34715838593088.

The previous prime is 131141430043093. The next prime is 131141430043123. The reversal of 131141430043110 is 11340034141131.

131141430043110 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 41 + 4 + 300 + 4 + 311 + 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, 120542761 + ... + 121625819.

It is an arithmetic number, because the mean of its divisors is an integer number (3577672098000).

Almost surely, 2131141430043110 is an apocalyptic number.

131141430043110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141430043110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171728260704000).

131141430043110 is an abundant number, since it is smaller than the sum of its proper divisors (212315091364890).

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

131141430043110 is a wasteful number, since it uses less digits than its factorization.

131141430043110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092890 (or 1092887 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131141430043110 its reverse (11340034141131), we get a palindrome (142481464184241).

The spelling of 131141430043110 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred thirty million, forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 9679 12510 19358 29037 48395 58074 87111 96790 145185 174222 290370 435555 871110 1083059 1345381 2166118 2690762 3249177 4036143 5415295 6498354 6726905 8072286 9747531 10830590 12108429 13453810 16245885 19495062 20180715 24216858 32491770 40361430 48737655 60542145 97475310 121084290 150545201 301090402 451635603 752726005 903271206 1354906809 1505452010 2258178015 2709813618 4516356030 6774534045 10482928061 13549068090 20965856122 31448784183 52414640305 62897568366 94346352549 104829280610 157243920915 188692705098 314487841830 471731762745 943463525490 1457127000479 2914254000958 4371381001437 7285635002395 8742762002874 13114143004311 14571270004790 21856905007185 26228286008622 43713810014370 65570715021555 131141430043110