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1011200102200 = 235210167773943
BaseRepresentation
bin11101011011100000011…
…10010000111100111000
310120200002021101120100001
432231300032100330320
5113031414211232300
62052312223322344
7133025324023141
oct16556016207470
93520067346301
101011200102200
1135a936106502
12143b88a503b4
13744817b4b52
1436d29b24ac8
151b484b8016a
hexeb70390f38

1011200102200 has 96 divisors (see below), whose sum is σ = 2377857137760. Its totient is φ = 399878336000.

The previous prime is 1011200102191. The next prime is 1011200102219. The reversal of 1011200102200 is 22010021101.

1011200102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 13638429 + ... + 13712371.

It is an arithmetic number, because the mean of its divisors is an integer number (24769345185).

Almost surely, 21011200102200 is an apocalyptic number.

1011200102200 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 1011200102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188928568880).

1011200102200 is an abundant number, since it is smaller than the sum of its proper divisors (1366657035560).

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

1011200102200 is a wasteful number, since it uses less digits than its factorization.

1011200102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74737 (or 74728 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011200102200 its reverse (22010021101), we get a palindrome (1033210123301).

The spelling of 1011200102200 in words is "one trillion, eleven billion, two hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 677 808 1010 1354 2020 2525 2708 3385 4040 5050 5416 6770 10100 13540 16925 20200 27080 33850 67700 68377 73943 135400 136754 147886 273508 295772 341885 369715 547016 591544 683770 739430 1367540 1478860 1709425 1848575 2735080 2957720 3418850 3697150 6837700 7394300 7468243 13675400 14788600 14936486 29872972 37341215 50059411 59745944 74682430 100118822 149364860 186706075 200237644 250297055 298729720 373412150 400475288 500594110 746824300 1001188220 1251485275 1493648600 2002376440 2502970550 5005941100 5056000511 10011882200 10112001022 20224002044 25280002555 40448004088 50560005110 101120010220 126400012775 202240020440 252800025550 505600051100 1011200102200