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22011122100112 = 241375695131257
BaseRepresentation
bin1010000000100110111010…
…00111010010011110010000
32212221020112221111120201121
411000103131013102132100
510341112234224200422
6114451434144212024
74431152060561545
oct500233507223620
985836487446647
1022011122100112
1170169566622a2
122575aa030a014
13c38841b53522
145614b5cc2bcc
1528285e4c08c7
hex1404dd1d2790

22011122100112 has 10 divisors (see below), whose sum is σ = 42646549068998. Its totient is φ = 11005561050048.

The previous prime is 22011122100053. The next prime is 22011122100119. The reversal of 22011122100112 is 21100122111022.

It can be written as a sum of positive squares in only one way, i.e., 20082623300496 + 1928498799616 = 4481364^2 + 1388704^2 .

It is a super-2 number, since 2×220111221001122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 1375695131257 = 22011122100112 / (2 + 2 + 0 + 1 + 1 + 1 + 2 + 2 + 1 + 0 + 0 + 1 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (22011122100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 687847565613 + ... + 687847565644.

Almost surely, 222011122100112 is an apocalyptic number.

It is an amenable number.

22011122100112 is a deficient number, since it is larger than the sum of its proper divisors (20635426968886).

22011122100112 is a wasteful number, since it uses less digits than its factorization.

22011122100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375695131265 (or 1375695131259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011122100112 its reverse (21100122111022), we get a palindrome (43111244211134).

The spelling of 22011122100112 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 1375695131257 2751390262514 5502780525028 11005561050056 22011122100112