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221001312100 = 225223293313363
BaseRepresentation
bin1100110111010010110…
…1000110011101100100
3210010102221221212201111
43031310231012131210
512110102313441400
6245305425034404
721652422105112
oct3156455063544
9703387855644
10221001312100
11857a952a888
12369b8a85a04
1317ac02a327a
14a9a7376ab2
155b370803ba
hex3374b46764

221001312100 has 72 divisors (see below), whose sum is σ = 517679991360. Its totient is φ = 81641239680.

The previous prime is 221001312053. The next prime is 221001312107. The reversal of 221001312100 is 1213100122.

It is not an unprimeable number, because it can be changed into a prime (221001312107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1589982 + ... + 1723381.

It is an arithmetic number, because the mean of its divisors is an integer number (7189999880).

Almost surely, 2221001312100 is an apocalyptic number.

221001312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001312100 is an abundant number, since it is smaller than the sum of its proper divisors (296678679260).

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

221001312100 is a wasteful number, since it uses less digits than its factorization.

221001312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313429 (or 3313422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221001312100 its reverse (1213100122), we get a palindrome (222214412222).

The spelling of 221001312100 in words is "two hundred twenty-one billion, one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16675 33350 66700 3313363 6626726 13253452 16566815 33133630 66267260 76207349 82834075 96087527 152414698 165668150 192175054 304829396 331336300 381036745 384350108 480437635 762073490 960875270 1524146980 1905183725 1921750540 2210013121 2402188175 3810367450 4420026242 4804376350 7620734900 8840052484 9608752700 11050065605 22100131210 44200262420 55250328025 110500656050 221001312100