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11122332040100 = 2252111223320401
BaseRepresentation
bin1010000111011001111010…
…1001100111101110100100
31110101021200102222012102102
42201312132221213232210
52424212014000240400
635353310115431232
72225363520313421
oct241663651475644
943337612865372
1011122332040100
1135a8a555292a6
1212b76ba5b5518
13628aa67c0cb8
142a64764cad48
151444b625e9d5
hexa1d9ea67ba4

11122332040100 has 18 divisors (see below), whose sum is σ = 24135460527234. Its totient is φ = 4448932816000.

The previous prime is 11122332040081. The next prime is 11122332040103. The reversal of 11122332040100 is 104023322111.

It can be written as a sum of positive squares in 3 ways, for example, as 8629666816 + 11113702373284 = 92896^2 + 3333722^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11122332040103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55611660101 + ... + 55611660300.

Almost surely, 211122332040100 is an apocalyptic number.

11122332040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122332040100 is an abundant number, since it is smaller than the sum of its proper divisors (13013128487134).

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

11122332040100 is a wasteful number, since it uses less digits than its factorization.

11122332040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111223320415 (or 111223320408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11122332040100 its reverse (104023322111), we get a palindrome (11226355362211).

The spelling of 11122332040100 in words is "eleven trillion, one hundred twenty-two billion, three hundred thirty-two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111223320401 222446640802 444893281604 556116602005 1112233204010 2224466408020 2780583010025 5561166020050 11122332040100