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11134314222000 = 243531997669423
BaseRepresentation
bin1010001000000110100011…
…0110000001000110110000
31110102102121111120002221020
42202001220312001012300
52424411033420101000
635403011111255440
72226266454216354
oct242015066010660
943372544502836
1011134314222000
11360304411a972
1212b9aa337a580
13629c66057568
142a6c919cb464
15144968160ba0
hexa2068d811b0

11134314222000 has 160 divisors (see below), whose sum is σ = 37786346757120. Its totient is φ = 2812879353600.

The previous prime is 11134314221999. The next prime is 11134314222013. The reversal of 11134314222000 is 22241343111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 48720712 + ... + 48948711.

It is an arithmetic number, because the mean of its divisors is an integer number (236164667232).

Almost surely, 211134314222000 is an apocalyptic number.

11134314222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134314222000 is an abundant number, since it is smaller than the sum of its proper divisors (26652032535120).

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

11134314222000 is a wasteful number, since it uses less digits than its factorization.

11134314222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97669468 (or 97669452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11134314222000 its reverse (22241343111), we get a palindrome (11156555565111).

The spelling of 11134314222000 in words is "eleven trillion, one hundred thirty-four billion, three hundred fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 97669423 195338846 293008269 390677692 488347115 586016538 781355384 976694230 1172033076 1465041345 1562710768 1855719037 1953388460 2344066152 2441735575 2930082690 3711438074 3906776920 4688132304 4883471150 5567157111 5860165380 7325206725 7422876148 7813553840 9278595185 9766942300 11134314222 11720330760 12208677875 14650413450 14845752296 18557190370 19533884600 22268628444 23440661520 24417355750 27835785555 29300826900 29691504592 36626033625 37114380740 39067769200 44537256888 46392975925 48834711500 55671571110 58601653800 73252067250 74228761480 89074513776 92785951850 97669423000 111343142220 117203307600 139178927775 146504134500 148457522960 185571903700 195338846000 222686284440 231964879625 278357855550 293008269000 371143807400 445372568880 463929759250 556715711100 586016538000 695894638875 742287614800 927859518500 1113431422200 1391789277750 1855719037000 2226862844400 2783578555500 3711438074000 5567157111000 11134314222000