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131343231223000 = 2353263624779943
BaseRepresentation
bin11101110111010010111010…
…101001000000010011011000
3122020001021211121112102011101
4131313102322221000103120
5114203411414143114000
61143202125240441144
736444143465545156
oct3567227251002330
9566037747472141
10131343231223000
1138939395a07095
12128932464791b4
1358397c8cb3244
14246109110a3d6
15102b8139bee6a
hex7774baa404d8

131343231223000 has 128 divisors (see below), whose sum is σ = 308565011589120. Its totient is φ = 52328498313600.

The previous prime is 131343231222989. The next prime is 131343231223021. The reversal of 131343231223000 is 322132343131.

It is a self number, because there is not a number n which added to its sum of digits gives 131343231223000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642921029 + ... + 1643000971.

It is an arithmetic number, because the mean of its divisors is an integer number (2410664153040).

Almost surely, 2131343231223000 is an apocalyptic number.

131343231223000 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 131343231223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154282505794560).

131343231223000 is an abundant number, since it is smaller than the sum of its proper divisors (177221780366120).

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

131343231223000 is a wasteful number, since it uses less digits than its factorization.

131343231223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86474 (or 86460 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 131343231223000 its reverse (322132343131), we get a palindrome (131665363566131).

The spelling of 131343231223000 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 263 500 526 1000 1052 1315 2104 2630 5260 6247 6575 10520 12494 13150 24988 26300 31235 32875 49976 52600 62470 65750 79943 124940 131500 156175 159886 249880 263000 312350 319772 399715 624700 639544 780875 799430 1249400 1561750 1598860 1642961 1998575 3123500 3197720 3285922 3997150 6247000 6571844 7994300 8214805 9992875 13143688 15988600 16429610 19985750 21025009 32859220 39971500 41074025 42050018 65718440 79943000 82148050 84100036 105125045 164296100 168200072 205370125 210250090 328592200 410740250 420500180 499403921 525625225 821480500 841000360 998807842 1051250450 1642961000 1997615684 2102500900 2497019605 2628126125 3995231368 4205001800 4994039210 5256252250 9988078420 10512504500 12485098025 19976156840 21025009000 24970196050 49940392100 62425490125 99880784200 124850980250 131343231223 249701960500 262686462446 499403921000 525372924892 656716156115 1050745849784 1313432312230 2626864624460 3283580780575 5253729248920 6567161561150 13134323122300 16417903902875 26268646244600 32835807805750 65671615611500 131343231223000