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11000112211000 = 2353115318868117
BaseRepresentation
bin1010000000010010100111…
…0001111110010000111000
31102221121012201210120212101
42200010221301332100320
52420211212211223000
635221214244353144
72213506015024153
oct240045161762070
942847181716771
1011000112211000
113561137630780
121297a8b3a57b4
1361a3c97518b3
142a05a0424c9a
15141211471e6a
hexa0129c7e438

11000112211000 has 128 divisors (see below), whose sum is σ = 28610104685760. Its totient is φ = 3924568128000.

The previous prime is 11000112210979. The next prime is 11000112211003. The reversal of 11000112211000 is 11221100011.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000112211003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8851059 + ... + 10017058.

Almost surely, 211000112211000 is an apocalyptic number.

11000112211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000112211000 is an abundant number, since it is smaller than the sum of its proper divisors (17609992474760).

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

11000112211000 is a wasteful number, since it uses less digits than its factorization.

11000112211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18868202 (or 18868188 counting only the distinct ones).

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

Adding to 11000112211000 its reverse (11221100011), we get a palindrome (11011333311011).

It can be divided in two parts, 11000 and 112211000, that multiplied together give a square (1234321000000 = 11110002).

The spelling of 11000112211000 in words is "eleven trillion, one hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 23320 26500 29150 53000 58300 72875 116600 145750 291500 583000 18868117 37736234 75472468 94340585 150944936 188681170 207549287 377362340 415098574 471702925 754724680 830197148 943405850 1000010201 1037746435 1660394296 1886811700 2000020402 2075492870 2358514625 3773623400 4000040804 4150985740 4717029250 5000051005 5188732175 8000081608 8301971480 9434058500 10000102010 10377464350 11000112211 18868117000 20000204020 20754928700 22000224422 25000255025 25943660875 40000408040 41509857400 44000448844 50000510050 51887321750 55000561055 88000897688 100001020100 103774643500 110001122110 125001275125 200002040200 207549287000 220002244220 250002550250 275002805275 440004488440 500005100500 550005610550 1000010201000 1100011221100 1375014026375 2200022442200 2750028052750 5500056105500 11000112211000