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11220102012031 = 1110116760473663
BaseRepresentation
bin1010001101000110001000…
…1100011101110001111111
31110201122001012102101020221
42203101202030131301333
52432312232103341111
635510235501322211
72235424405336363
oct243214214356177
943648035371227
1011220102012031
1136364670952a0
121312645566367
136350882b73b3
142ab0ad2d52a3
15146cd97ea371
hexa346231dc7f

11220102012031 has 16 divisors (see below), whose sum is σ = 12435320475648. Its totient is φ = 10038627892000.

The previous prime is 11220102011971. The next prime is 11220102012059. The reversal of 11220102012031 is 13021020102211.

It is a cyclic number.

It is not a de Polignac number, because 11220102012031 - 215 = 11220101979263 is a prime.

It is a super-2 number, since 2×112201020120312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11220102011996 and 11220102012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220102012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30051295 + ... + 30422368.

It is an arithmetic number, because the mean of its divisors is an integer number (777207529728).

Almost surely, 211220102012031 is an apocalyptic number.

11220102012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220102012031 is a deficient number, since it is larger than the sum of its proper divisors (1215218463617).

11220102012031 is a wasteful number, since it uses less digits than its factorization.

11220102012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60473942.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11220102012031 its reverse (13021020102211), we get a palindrome (24241122114242).

The spelling of 11220102012031 in words is "eleven trillion, two hundred twenty billion, one hundred two million, twelve thousand, thirty-one".

Divisors: 1 11 101 167 1111 1837 16867 185537 60473663 665210293 6107839963 10099101721 67186239593 111090118931 1020009273821 11220102012031