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1000011120200 = 2352101151327851
BaseRepresentation
bin11101000110101010100…
…11101011111001001000
310112121012111100101112022
432203111103223321020
5112341010321321300
62043222044504012
7132151131162311
oct16432523537110
93477174311468
101000011120200
11356114230744
1214198584b008
13733ba690241
1436587add608
151b02c711285
hexe8d54ebe48

1000011120200 has 96 divisors (see below), whose sum is σ = 2363603094720. Its totient is φ = 393420000000.

The previous prime is 1000011120193. The next prime is 1000011120253. The reversal of 1000011120200 is 20211100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 2886275 + ... + 3214125.

It is an arithmetic number, because the mean of its divisors is an integer number (24620865570).

Almost surely, 21000011120200 is an apocalyptic number.

1000011120200 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 1000011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181801547360).

1000011120200 is an abundant number, since it is smaller than the sum of its proper divisors (1363591974520).

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

1000011120200 is a wasteful number, since it uses less digits than its factorization.

1000011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328119 (or 328110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000011120200 its reverse (20211100001), we get a palindrome (1020222220201).

It can be divided in two parts, 1000011 and 120200, that added together give a palindrome (1120211).

The spelling of 1000011120200 in words is "one trillion, eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 151 200 202 302 404 505 604 755 808 1010 1208 1510 2020 2525 3020 3775 4040 5050 6040 7550 10100 15100 15251 20200 30200 30502 61004 76255 122008 152510 305020 327851 381275 610040 655702 762550 1311404 1525100 1639255 2622808 3050200 3278510 6557020 8196275 13114040 16392550 32785100 33112951 49505501 65570200 66225902 99011002 132451804 165564755 198022004 247527505 264903608 331129510 396044008 495055010 662259020 827823775 990110020 1237637525 1324518040 1655647550 1980220040 2475275050 3311295100 4950550100 5000055601 6622590200 9901100200 10000111202 20000222404 25000278005 40000444808 50000556010 100001112020 125001390025 200002224040 250002780050 500005560100 1000011120200