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20101002222000 = 243537478595291
BaseRepresentation
bin1001001001000001000010…
…00110001101100110110000
32122011122012101222000000210
410210200201012031212300
510113313323032101000
6110430134542144120
74143151400524260
oct444404106154660
978148171860023
1020101002222000
11644a8727a4387
122307860b82040
13b2a69362ab3b
144d6c724477a0
1524cd17090350
hex12482118d9b0

20101002222000 has 160 divisors (see below), whose sum is σ = 74063578627584. Its totient is φ = 4594514784000.

The previous prime is 20101002221857. The next prime is 20101002222019. The reversal of 20101002222000 is 22220010102.

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

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, 239255646 + ... + 239339645.

Almost surely, 220101002222000 is an apocalyptic number.

20101002222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101002222000 is an abundant number, since it is smaller than the sum of its proper divisors (53962576405584).

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

20101002222000 is a wasteful number, since it uses less digits than its factorization.

20101002222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478595324 (or 478595308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20101002222000 its reverse (22220010102), we get a palindrome (20123222232102).

The spelling of 20101002222000 in words is "twenty trillion, one hundred one billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 478595291 957190582 1435785873 1914381164 2392976455 2871571746 3350167037 3828762328 4785952910 5743143492 6700334074 7178929365 7657524656 9571905820 10050501111 11486286984 11964882275 13400668148 14357858730 16750835185 19143811640 20101002222 22972573968 23929764550 26801336296 28715717460 33501670370 35894646825 38287623280 40202004444 47859529100 50252505555 53602672592 57431434920 59824411375 67003340740 71789293650 80404008888 83754175925 95719058200 100505011110 114862869840 119648822750 134006681480 143578587300 160808017776 167508351850 179473234125 191438116400 201010022220 239297645500 251262527775 268013362960 287157174600 335016703700 358946468250 402020044440 418770879625 478595291000 502525055550 574314349200 670033407400 717892936500 804040088880 837541759250 957190582000 1005050111100 1256312638875 1340066814800 1435785873000 1675083518500 2010100222200 2512625277750 2871571746000 3350167037000 4020200444400 5025250555500 6700334074000 10050501111000 20101002222000