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11112111200 = 2552173126357
BaseRepresentation
bin10100101100101010…
…10101110001100000
31001200102101201220002
422112111111301200
5140224200024300
65034351035132
7542240246441
oct122625256140
931612351802
1011112111200
114792551683
1221a150baa8
13108121b938
14775b352c8
154508375d5
hex296555c60

11112111200 has 144 divisors (see below), whose sum is σ = 29650852224. Its totient is φ = 4048281600.

The previous prime is 11112111191. The next prime is 11112111209. The reversal of 11112111200 is 211121111.

It is an interprime number because it is at equal distance from previous prime (11112111191) and next prime (11112111209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112111209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408422 + ... + 434778.

It is an arithmetic number, because the mean of its divisors is an integer number (205908696).

Almost surely, 211112111200 is an apocalyptic number.

11112111200 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 11112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825426112).

11112111200 is an abundant number, since it is smaller than the sum of its proper divisors (18538741024).

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

11112111200 is a wasteful number, since it uses less digits than its factorization.

11112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26412 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11112111200 its reverse (211121111), we get a palindrome (11323232311).

It can be divided in two parts, 11 and 112111200, that added together give a palindrome (112111211).

The spelling of 11112111200 in words is "eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 68 80 85 100 124 136 155 160 170 200 248 272 310 340 400 425 496 527 544 620 680 775 800 850 992 1054 1240 1360 1550 1700 2108 2480 2635 2720 3100 3400 4216 4960 5270 6200 6800 8432 10540 12400 13175 13600 16864 21080 24800 26350 26357 42160 52700 52714 84320 105400 105428 131785 210800 210856 263570 421600 421712 448069 527140 658925 817067 843424 896138 1054280 1317850 1634134 1792276 2108560 2240345 2635700 3268268 3584552 4085335 4217120 4480690 5271400 6536536 7169104 8170670 8961380 10542800 11201725 13073072 13890139 14338208 16341340 17922760 20426675 21085600 22403450 26146144 27780278 32682680 35845520 40853350 44806900 55560556 65365360 69450695 71691040 81706700 89613800 111121112 130730720 138901390 163413400 179227600 222242224 277802780 326826800 347253475 358455200 444484448 555605560 653653600 694506950 1111211120 1389013900 2222422240 2778027800 5556055600 11112111200