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11011210120000 = 2654594665767
BaseRepresentation
bin1010000000111011111101…
…0001001000101101000000
31102222122212011110210000001
42200032333101020231000
52420401424242320000
635230251411205344
72214351023503036
oct240167721105500
942878764423001
1011011210120000
113565912061aa2
12129a067ba6854
1361b477a3a05c
142a0d34300556
1514166090146a
hexa03bf448b40

11011210120000 has 140 divisors (see below), whose sum is σ = 27767011836960. Its totient is φ = 4329830848000.

The previous prime is 11011210119929. The next prime is 11011210120021. The reversal of 11011210120000 is 2101211011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27117 + ... + 4692883.

Almost surely, 211011210120000 is an apocalyptic number.

11011210120000 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 11011210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883505918480).

11011210120000 is an abundant number, since it is smaller than the sum of its proper divisors (16755801716960).

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

11011210120000 is an frugal number, since it uses more digits than its factorization.

11011210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665858 (or 4665833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011210120000 its reverse (2101211011), we get a palindrome (11013311331011).

The spelling of 11011210120000 in words is "eleven trillion, eleven billion, two hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 625 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3776 4000 4720 5000 5900 7375 8000 9440 10000 11800 14750 18880 20000 23600 29500 36875 40000 47200 59000 73750 94400 118000 147500 236000 295000 472000 590000 1180000 2360000 4665767 9331534 18663068 23328835 37326136 46657670 74652272 93315340 116644175 149304544 186630680 233288350 275280253 298609088 373261360 466576700 550560506 583220875 746522720 933153400 1101121012 1166441750 1376401265 1493045440 1866306800 2202242024 2332883500 2752802530 2916104375 3732613600 4404484048 4665767000 5505605060 5832208750 6882006325 7465227200 8808968096 9331534000 11011210120 11664417500 13764012650 17617936192 18663068000 22022420240 23328835000 27528025300 34410031625 37326136000 44044840480 46657670000 55056050600 68820063250 88089680960 93315340000 110112101200 137640126500 172050158125 186630680000 220224202400 275280253000 344100316250 440448404800 550560506000 688200632500 1101121012000 1376401265000 2202242024000 2752802530000 5505605060000 11011210120000