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221012210211100 = 2252711471036838681
BaseRepresentation
bin110010010000001001101010…
…010001111101100100011100
31001222112120010221011222110221
4302100021222101331210130
5212432031001303223400
62102015335133211124
764360414413225520
oct6220115221754434
91058476127158427
10221012210211100
116446a82a984630
1220955792030aa4
1396424923c3c19
143c81095bc5d80
151a8407c5d1c1a
hexc9026a47d91c

221012210211100 has 576 divisors, whose sum is σ = 617563225423872. Its totient is φ = 66661233408000.

The previous prime is 221012210211041. The next prime is 221012210211103. The reversal of 221012210211100 is 1112012210122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012210211103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25459298760 + ... + 25459307440.

It is an arithmetic number, because the mean of its divisors is an integer number (1072158377472).

Almost surely, 2221012210211100 is an apocalyptic number.

221012210211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012210211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308781612711936).

221012210211100 is an abundant number, since it is smaller than the sum of its proper divisors (396551015212772).

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

221012210211100 is a wasteful number, since it uses less digits than its factorization.

221012210211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9539 counting only the distinct ones).

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

Adding to 221012210211100 its reverse (1112012210122), we get a palindrome (222124222421222).

The spelling of 221012210211100 in words is "two hundred twenty-one trillion, twelve billion, two hundred ten million, two hundred eleven thousand, one hundred".