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220011101022102 = 231313930236712697
BaseRepresentation
bin110010000001100101010011…
…100001011110011110010110
31001211222212002220121220201220
4302001211103201132132112
5212314130213330201402
62055531412101031210
764225164116432355
oct6201452341363626
91054885086556656
10220011101022102
1164114202938615
12208137606b5506
13959bc5b3ab040
143c4884632b99c
151a67ed87bbdbc
hexc8195385e796

220011101022102 has 64 divisors (see below), whose sum is σ = 477437154647040. Its totient is φ = 67186461337344.

The previous prime is 220011101022001. The next prime is 220011101022103. The reversal of 220011101022102 is 201220101110022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220011101022103) 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 31 ways as a sum of consecutive naturals, for example, 29419018 + ... + 36131714.

It is an arithmetic number, because the mean of its divisors is an integer number (7459955541360).

Almost surely, 2220011101022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220011101022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238718577323520).

220011101022102 is an abundant number, since it is smaller than the sum of its proper divisors (257426053624938).

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

220011101022102 is a wasteful number, since it uses less digits than its factorization.

220011101022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715877.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220011101022102 its reverse (201220101110022), we get a palindrome (421231202132124).

The spelling of 220011101022102 in words is "two hundred twenty trillion, eleven billion, one hundred one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 3023 3614 5421 6046 9069 10842 18138 39299 78598 117897 235794 420197 840394 1260591 2521182 5462561 6712697 10925122 13425394 16387683 20138091 32775366 40276182 87265061 174530122 261795183 523590366 933064883 1866129766 2799194649 5598389298 12129843479 20292483031 24259686958 36389530437 40584966062 60877449093 72779060874 121754898186 263802279403 527604558806 791406838209 1582813676418 2820655141309 5641310282618 8461965423927 16923930847854 36668516837017 73337033674034 110005550511051 220011101022102