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131321211000 = 2335376253391
BaseRepresentation
bin111101001001101011…
…0101010100001111000
3110112222000000201101120
41322103112222201320
54122421212223000
6140154513145240
712326155606320
oct1722326524170
9415860021346
10131321211000
1150769444551
122154b25b220
13c4ca8281a5
1464dab4c280
153638d436a0
hex1e935aa878

131321211000 has 128 divisors (see below), whose sum is σ = 468253992960. Its totient is φ = 30016272000.

The previous prime is 131321210869. The next prime is 131321211013. The reversal of 131321211000 is 112123131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 3105696 + ... + 3147695.

It is an arithmetic number, because the mean of its divisors is an integer number (3658234320).

Almost surely, 2131321211000 is an apocalyptic number.

131321211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321211000 is an abundant number, since it is smaller than the sum of its proper divisors (336932781960).

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

131321211000 is a wasteful number, since it uses less digits than its factorization.

131321211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253422 (or 6253408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131321211000 its reverse (112123131), we get a palindrome (131433334131).

The spelling of 131321211000 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 6253391 12506782 18760173 25013564 31266955 37520346 43773737 50027128 62533910 75040692 87547474 93800865 125067820 131321211 150081384 156334775 175094948 187601730 218868685 250135640 262642422 312669550 350189896 375203460 437737370 469004325 525284844 625339100 656606055 750406920 781673875 875474740 938008650 1050569688 1094343425 1250678200 1313212110 1563347750 1750949480 1876017300 2188686850 2345021625 2626424220 3126695500 3283030275 3752034600 4377373700 4690043250 5252848440 5471717125 6253391000 6566060550 8754747400 9380086500 10943434250 13132121100 16415151375 18760173000 21886868500 26264242200 32830302750 43773737000 65660605500 131321211000