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131250525660 = 2235529579133
BaseRepresentation
bin111101000111100100…
…1000001010111011100
3110112210002000112100000
41322033021001113130
54122300113310120
6140143510134300
712324340026522
oct1721711012734
9415702015300
10131250525660
1150732555611
122152b651390
13c4b8ca9747
1464d15cc312
153632a2e990
hex1e8f2415dc

131250525660 has 144 divisors (see below), whose sum is σ = 413056871136. Its totient is φ = 34984472832.

The previous prime is 131250525649. The next prime is 131250525673. The reversal of 131250525660 is 66525052131.

131250525660 is a `hidden beast` number, since 1 + 3 + 125 + 0 + 525 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14366454 + ... + 14375586.

It is an arithmetic number, because the mean of its divisors is an integer number (2868450494).

Almost surely, 2131250525660 is an apocalyptic number.

131250525660 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 131250525660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206528435568).

131250525660 is an abundant number, since it is smaller than the sum of its proper divisors (281806345476).

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

131250525660 is a wasteful number, since it uses less digits than its factorization.

131250525660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 131250525660 its reverse (66525052131), we get a palindrome (197775577791).

The spelling of 131250525660 in words is "one hundred thirty-one billion, two hundred fifty million, five hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2957 4860 5914 8871 9133 11828 14785 17742 18266 26613 27399 29570 35484 36532 44355 45665 53226 54798 59140 79839 82197 88710 91330 106452 109596 133065 136995 159678 164394 177420 182660 239517 246591 266130 273990 319356 328788 399195 410985 479034 493182 532260 547980 718551 739773 798390 821970 958068 986364 1197585 1232955 1437102 1479546 1596780 1643940 2219319 2395170 2465910 2874204 2959092 3592755 3698865 4438638 4790340 4931820 7185510 7397730 8877276 11096595 14371020 14795460 22193190 27006281 44386380 54012562 81018843 108025124 135031405 162037686 243056529 270062810 324075372 405094215 486113058 540125620 729169587 810188430 972226116 1215282645 1458339174 1620376860 2187508761 2430565290 2916678348 3645847935 4375017522 4861130580 6562526283 7291695870 8750035044 10937543805 13125052566 14583391740 21875087610 26250105132 32812631415 43750175220 65625262830 131250525660