Search a number
-
+
1111012200200 = 235271217652079
BaseRepresentation
bin10000001010101101011…
…111001100111100001000
310221012201100110111111102
4100022231133030330020
5121200323110401300
62210220355120532
7143160626612330
oct20125537147410
93835640414442
101111012200200
113991a5471aa1
1215b3a38a3148
13809ca3b4a76
143bab7c320c0
151dd776500d5
hex102ad7ccf08

1111012200200 has 96 divisors (see below), whose sum is σ = 2954548396800. Its totient is φ = 380604887040.

The previous prime is 1111012200143. The next prime is 1111012200203. The reversal of 1111012200200 is 20022101111.

It is a super-3 number, since 3×11110122002003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1111012200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377761 + ... + 2029839.

It is an arithmetic number, because the mean of its divisors is an integer number (30776545800).

Almost surely, 21111012200200 is an apocalyptic number.

1111012200200 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 1111012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477274198400).

1111012200200 is an abundant number, since it is smaller than the sum of its proper divisors (1843536196600).

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

1111012200200 is a wasteful number, since it uses less digits than its factorization.

1111012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653319 (or 653310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1111012200200 its reverse (20022101111), we get a palindrome (1131034301311).

The spelling of 1111012200200 in words is "one trillion, one hundred eleven billion, twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1217 1400 2434 4868 6085 8519 9736 12170 17038 24340 30425 34076 42595 48680 60850 68152 85190 121700 170380 212975 243400 340760 425950 652079 851900 1304158 1703800 2608316 3260395 4564553 5216632 6520790 9129106 13041580 16301975 18258212 22822765 26083160 32603950 36516424 45645530 65207900 91291060 114113825 130415800 182582120 228227650 456455300 793580143 912910600 1587160286 3174320572 3967900715 5555061001 6348641144 7935801430 11110122002 15871602860 19839503575 22220244004 27775305005 31743205720 39679007150 44440488008 55550610010 79358014300 111101220020 138876525025 158716028600 222202440040 277753050050 555506100100 1111012200200