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10031210022000 = 243534338880659
BaseRepresentation
bin1001000111111001001010…
…1101011100010001110000
31022111222022021101122100010
42101332102231130101300
52303322404231201000
633200135124054520
72053505510222136
oct221762255342160
938458267348303
1010031210022000
1132182375a9532
121160147b34440
13579c2911366b
14269728155756
15125e04dd6d50
hex91f92b5c470

10031210022000 has 160 divisors (see below), whose sum is σ = 33092729429760. Its totient is φ = 2612780217600.

The previous prime is 10031210021981. The next prime is 10031210022089. The reversal of 10031210022000 is 22001213001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 19182330 + ... + 19698329.

It is an arithmetic number, because the mean of its divisors is an integer number (206829558936).

Almost surely, 210031210022000 is an apocalyptic number.

10031210022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031210022000 is an abundant number, since it is smaller than the sum of its proper divisors (23061519407760).

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

10031210022000 is a wasteful number, since it uses less digits than its factorization.

10031210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38880728 (or 38880712 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10031210022000 its reverse (22001213001), we get a palindrome (10053211235001).

The spelling of 10031210022000 in words is "ten trillion, thirty-one billion, two hundred ten million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 38880659 77761318 116641977 155522636 194403295 233283954 311045272 388806590 466567908 583209885 622090544 777613180 933135816 972016475 1166419770 1555226360 1671868337 1866271632 1944032950 2332839540 2916049425 3110452720 3343736674 3888065900 4665679080 4860082375 5015605011 5832098850 6687473348 7776131800 8359341685 9331358160 9720164750 10031210022 11664197700 13374946696 14580247125 15552263600 16718683370 19440329500 20062420044 23328395400 25078025055 26749893392 29160494250 33437366740 38880659000 40124840088 41796708425 46656790800 50156050110 58320988500 66874733480 77761318000 80249680176 83593416850 100312100220 116641977000 125390125275 133749466960 167186833700 200624200440 208983542125 233283954000 250780250550 334373667400 401248400880 417967084250 501560501100 626950626375 668747334800 835934168500 1003121002200 1253901252750 1671868337000 2006242004400 2507802505500 3343736674000 5015605011000 10031210022000