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131113330022000 = 2453731376555011
BaseRepresentation
bin11101110011111100110011…
…011101100001011001110000
3122012020022102101212100001002
4131303330303131201121300
5114141130044441201000
61142504344324101132
736421424354563064
oct3563746335413160
9565208371770032
10131113330022000
113885a93a753027
1212856784b347a8
135820c1ac11c31
142453cc1b7baa4
15102585a43a8d5
hex773f33761670

131113330022000 has 160 divisors (see below), whose sum is σ = 323720788382784. Its totient is φ = 51349326336000.

The previous prime is 131113330021997. The next prime is 131113330022039. The reversal of 131113330022000 is 220033311131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16724495 + ... + 23279505.

Almost surely, 2131113330022000 is an apocalyptic number.

131113330022000 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 131113330022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161860394191392).

131113330022000 is an abundant number, since it is smaller than the sum of its proper divisors (192607458360784).

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

131113330022000 is a wasteful number, since it uses less digits than its factorization.

131113330022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555244 (or 6555228 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131113330022000 its reverse (220033311131), we get a palindrome (131333363333131).

The spelling of 131113330022000 in words is "one hundred thirty-one trillion, one hundred thirteen billion, three hundred thirty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 137 146 200 250 274 292 365 400 500 548 584 685 730 1000 1096 1168 1370 1460 1825 2000 2192 2740 2920 3425 3650 5480 5840 6850 7300 9125 10001 10960 13700 14600 17125 18250 20002 27400 29200 34250 36500 40004 50005 54800 68500 73000 80008 100010 137000 146000 160016 200020 250025 274000 400040 500050 800080 1000100 1250125 2000200 2500250 4000400 5000500 6555011 10001000 13110022 20002000 26220044 32775055 52440088 65550110 104880176 131100220 163875275 262200440 327750550 478515803 524400880 655501100 819376375 898036507 957031606 1311002200 1638752750 1796073014 1914063212 2392579015 2622004400 3277505500 3592146028 3828126424 4490182535 4785158030 6555011000 7184292056 7656252848 8980365070 9570316060 11962895075 13110022000 14368584112 17960730140 19140632120 22450912675 23925790150 35921460280 38281264240 44901825350 47851580300 59814475375 65556665011 71842920560 89803650700 95703160600 112254563375 119628950750 131113330022 179607301400 191406321200 224509126750 239257901500 262226660044 327783325055 359214602800 449018253500 478515803000 524453320088 655566650110 898036507000 957031606000 1048906640176 1311133300220 1638916625275 1796073014000 2622266600440 3277833250550 5244533200880 6555666501100 8194583126375 13111333002200 16389166252750 26222666004400 32778332505500 65556665011000 131113330022000