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131100240 = 24353167263
BaseRepresentation
bin1111101000001…
…10111001010000
3100010200120201110
413310012321100
5232030201430
621001533320
73151222305
oct764067120
9303616643
10131100240
1168003607
1237aa4240
132121250b
14135a90ac
15b7997b0
hex7d06e50

131100240 has 160 divisors (see below), whose sum is σ = 427401216. Its totient is φ = 33200640.

The previous prime is 131100223. The next prime is 131100251. The reversal of 131100240 is 42001131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498349 + ... + 498611.

Almost surely, 2131100240 is an apocalyptic number.

131100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213700608).

131100240 is an abundant number, since it is smaller than the sum of its proper divisors (296300976).

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

131100240 is a wasteful number, since it uses less digits than its factorization.

131100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131100240 is about 11449.9013096183. The cubic root of 131100240 is about 508.0048152973.

Adding to 131100240 its reverse (42001131), we get a palindrome (173101371).

The spelling of 131100240 in words is "one hundred thirty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 67 80 93 120 124 134 155 186 201 240 248 263 268 310 335 372 402 465 496 526 536 620 670 744 789 804 930 1005 1052 1072 1240 1315 1340 1488 1578 1608 1860 2010 2077 2104 2480 2630 2680 3156 3216 3720 3945 4020 4154 4208 5260 5360 6231 6312 7440 7890 8040 8153 8308 10385 10520 12462 12624 15780 16080 16306 16616 17621 20770 21040 24459 24924 31155 31560 32612 33232 35242 40765 41540 48918 49848 52863 62310 63120 65224 70484 81530 83080 88105 97836 99696 105726 122295 124620 130448 140968 163060 166160 176210 195672 211452 244590 249240 264315 281936 326120 352420 391344 422904 489180 498480 528630 546251 652240 704840 845808 978360 1057260 1092502 1409680 1638753 1956720 2114520 2185004 2731255 3277506 4229040 4370008 5462510 6555012 8193765 8740016 10925020 13110024 16387530 21850040 26220048 32775060 43700080 65550120 131100240