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1011220110200 = 235225723118513
BaseRepresentation
bin11101011011100010110…
…10100101101101111000
310120200010200001002011002
432231301122211231320
5113031434322011300
62052314220224132
7133025656054406
oct16556132455570
93520120032132
101011220110200
1135a946431843
12143b9369b048
137448599bac1
1436d2c652476
151b4867d35d5
hexeb716a5b78

1011220110200 has 96 divisors (see below), whose sum is σ = 2361533628960. Its totient is φ = 402692505600.

The previous prime is 1011220110193. The next prime is 1011220110233. The reversal of 1011220110200 is 20110221101.

It is a super-2 number, since 2×10112201102002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118781144 + ... + 118789656.

It is an arithmetic number, because the mean of its divisors is an integer number (24599308635).

Almost surely, 21011220110200 is an apocalyptic number.

1011220110200 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 1011220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180766814480).

1011220110200 is an abundant number, since it is smaller than the sum of its proper divisors (1350313518760).

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

1011220110200 is a wasteful number, since it uses less digits than its factorization.

1011220110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11088 counting only the distinct ones).

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

Adding to 1011220110200 its reverse (20110221101), we get a palindrome (1031330331301).

The spelling of 1011220110200 in words is "one trillion, eleven billion, two hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2311 2570 4622 5140 6425 8513 9244 10280 11555 12850 17026 18488 23110 25700 34052 42565 46220 51400 57775 68104 85130 92440 115550 170260 212825 231100 340520 425650 462200 593927 851300 1187854 1702600 2187841 2375708 2969635 4375682 4751416 5939270 8751364 10939205 11878540 14848175 17502728 19673543 21878410 23757080 29696350 39347086 43756820 54696025 59392700 78694172 87513640 98367715 109392050 118785400 157388344 196735430 218784100 393470860 437568200 491838575 786941720 983677150 1967354300 3934708600 5056100551 10112201102 20224402204 25280502755 40448804408 50561005510 101122011020 126402513775 202244022040 252805027550 505610055100 1011220110200