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11122432020200 = 2352151735150101
BaseRepresentation
bin1010000111011010010010…
…0111000000111011101000
31110101021221102002201100002
42201312210213000323220
52424212220044121300
635353324050402132
72225366143163534
oct241664447007350
943337842081302
1011122432020200
1135a8aa6a06886
1212b7727b90348
13628ac1428717
142a64858b4bc4
151444bee0d5d5
hexa1da49c0ee8

11122432020200 has 96 divisors (see below), whose sum is σ = 26034971214720. Its totient is φ = 4418820000000.

The previous prime is 11122432020197. The next prime is 11122432020233. The reversal of 11122432020200 is 202023422111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 221975150 + ... + 222025250.

It is an arithmetic number, because the mean of its divisors is an integer number (271197616820).

Almost surely, 211122432020200 is an apocalyptic number.

11122432020200 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 11122432020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017485607360).

11122432020200 is an abundant number, since it is smaller than the sum of its proper divisors (14912539194520).

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

11122432020200 is a wasteful number, since it uses less digits than its factorization.

11122432020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57619 (or 57610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11122432020200 its reverse (202023422111), we get a palindrome (11324455442311).

The spelling of 11122432020200 in words is "eleven trillion, one hundred twenty-two billion, four hundred thirty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7351 7550 14702 15100 29404 30200 36755 50101 58808 73510 100202 147020 183775 200404 250505 294040 367550 400808 501010 735100 1002020 1110001 1252525 1470200 2004040 2220002 2505050 4440004 5010100 5550005 7565251 8880008 10020200 11100010 15130502 22200020 27750025 30261004 37826255 44400040 55500050 60522008 75652510 111000100 151305020 189131275 222000200 302610040 368292451 378262550 736584902 756525100 1473169804 1513050200 1841462255 2946339608 3682924510 7365849020 9207311275 14731698040 18414622550 36829245100 55612160101 73658490200 111224320202 222448640404 278060800505 444897280808 556121601010 1112243202020 1390304002525 2224486404040 2780608005050 5561216010100 11122432020200