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2231021320100 = 2252131653260807
BaseRepresentation
bin100000011101110011001…
…110111011011110100100
321220021122201012212121222
4200131303032323132210
5243023112424220400
64424530025355512
7320120534216366
oct40356316733644
97807581185558
102231021320100
11790197410a11
12300478638b98
131324cc70ba51
1479da68b6d36
153d079a6e185
hex207733bb7a4

2231021320100 has 72 divisors (see below), whose sum is σ = 4885762166208. Its totient is φ = 884236662400.

The previous prime is 2231021320093. The next prime is 2231021320123. The reversal of 2231021320100 is 10231201322.

It is a super-3 number, since 3×22310213201003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8423897 + ... + 8684703.

It is an arithmetic number, because the mean of its divisors is an integer number (67857807864).

Almost surely, 22231021320100 is an apocalyptic number.

2231021320100 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 2231021320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442881083104).

2231021320100 is an abundant number, since it is smaller than the sum of its proper divisors (2654740846108).

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

2231021320100 is a wasteful number, since it uses less digits than its factorization.

2231021320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261605 (or 261598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2231021320100 its reverse (10231201322), we get a palindrome (2241252521422).

The spelling of 2231021320100 in words is "two trillion, two hundred thirty-one billion, twenty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 653 655 1306 1310 2612 2620 3265 3275 6530 6550 13060 13100 16325 32650 65300 85543 171086 260807 342172 427715 521614 855430 1043228 1304035 1710860 2138575 2608070 4277150 5216140 6520175 8554300 13040350 26080700 34165717 68331434 136662868 170306971 170828585 340613942 341657170 681227884 683314340 851534855 854142925 1703069710 1708285850 3406139420 3416571700 4257674275 8515348550 17030697100 22310213201 44620426402 89240852804 111551066005 223102132010 446204264020 557755330025 1115510660050 2231021320100