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1001201022164 = 227162721977369
BaseRepresentation
bin11101001000111000011…
…10110011010011010100
310112201021102100200011102
432210130032303103110
5112400424430202124
62043540112325232
7132222460162250
oct16443416632324
93481242320142
101001201022164
1135667496a6a2
12142058243818
137354a05a345
143665bb61260
151b09be04aae
hexe91c3b34d4

1001201022164 has 24 divisors (see below), whose sum is σ = 2003632868160. Its totient is φ = 428822404416.

The previous prime is 1001201022163. The next prime is 1001201022169. The reversal of 1001201022164 is 4612201021001.

It is a happy number.

1001201022164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001201022161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10943129 + ... + 11034240.

It is an arithmetic number, because the mean of its divisors is an integer number (83484702840).

Almost surely, 21001201022164 is an apocalyptic number.

1001201022164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001201022164 is an abundant number, since it is smaller than the sum of its proper divisors (1002431845996).

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

1001201022164 is a wasteful number, since it uses less digits than its factorization.

1001201022164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21979007 (or 21979005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1001201022164 its reverse (4612201021001), we get a palindrome (5613402043165).

The spelling of 1001201022164 in words is "one trillion, one billion, two hundred one million, twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 1627 3254 6508 11389 22778 45556 21977369 43954738 87909476 153841583 307683166 615366332 35757179363 71514358726 143028717452 250300255541 500600511082 1001201022164