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131330221221000 = 23353295011483907
BaseRepresentation
bin11101110111000110110011…
…001011110010010010001000
3122020000001020220220211112110
4131313012303023302102020
5114203203243113033000
61143152134251142320
736443203211422164
oct3567066313622210
9566001226824473
10131330221221000
113893391a12001a
12128908154449a0
13583850481bac9
1424605b92d9ca4
15102b301744850
hex7771b32f2488

131330221221000 has 128 divisors (see below), whose sum is σ = 409764455717760. Its totient is φ = 35020181600000.

The previous prime is 131330221220987. The next prime is 131330221221109. The reversal of 131330221221000 is 122122033131.

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, 87761047 + ... + 89244953.

It is an arithmetic number, because the mean of its divisors is an integer number (3201284810295).

Almost surely, 2131330221221000 is an apocalyptic number.

131330221221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330221221000 is an abundant number, since it is smaller than the sum of its proper divisors (278434234496760).

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

131330221221000 is a wasteful number, since it uses less digits than its factorization.

131330221221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513432 (or 1513418 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131330221221000 its reverse (122122033131), we get a palindrome (131452343254131).

The spelling of 131330221221000 in words is "one hundred thirty-one trillion, three hundred thirty billion, two hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 29501 59002 88503 118004 147505 177006 236008 295010 354012 442515 590020 708024 737525 885030 1180040 1475050 1483907 1770060 2212575 2950100 2967814 3540120 3687625 4425150 4451721 5900200 5935628 7375250 7419535 8850300 8903442 11062875 11871256 14750500 14839070 17700600 17806884 22125750 22258605 29501000 29678140 35613768 37097675 44251500 44517210 59356280 74195350 88503000 89034420 111293025 148390700 178068840 185488375 222586050 296781400 370976750 445172100 556465125 741953500 890344200 1112930250 1483907000 2225860500 4451721000 43776740407 87553480814 131330221221 175106961628 218883702035 262660442442 350213923256 437767404070 525320884884 656651106105 875534808140 1050641769768 1094418510175 1313302212210 1751069616280 2188837020350 2626604424420 3283255530525 4377674040700 5253208848840 5472092550875 6566511061050 8755348081400 10944185101750 13133022122100 16416277652625 21888370203500 26266044244200 32832555305250 43776740407000 65665110610500 131330221221000