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213221312200 = 23521382008197
BaseRepresentation
bin1100011010010011111…
…0110000011011001000
3202101100202111221020001
43012210332300123020
511443134123442300
6241541424412344
721255552151501
oct3064476603310
9671322457201
10213221312200
11824769657a6
12353a74770b4
13171504ca930
14a469db9ba8
15582e04016a
hex31a4fb06c8

213221312200 has 48 divisors (see below), whose sum is σ = 533873368980. Its totient is φ = 78727868160.

The previous prime is 213221312197. The next prime is 213221312219. The reversal of 213221312200 is 2213122312.

It can be written as a sum of positive squares in 6 ways, for example, as 41631505444 + 171589806756 = 204038^2 + 414234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41001499 + ... + 41006698.

Almost surely, 2213221312200 is an apocalyptic number.

213221312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213221312200 is an abundant number, since it is smaller than the sum of its proper divisors (320652056780).

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

213221312200 is a wasteful number, since it uses less digits than its factorization.

213221312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82008226 (or 82008217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213221312200 its reverse (2213122312), we get a palindrome (215434434512).

The spelling of 213221312200 in words is "two hundred thirteen billion, two hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 82008197 164016394 328032788 410040985 656065576 820081970 1066106561 1640163940 2050204925 2132213122 3280327880 4100409850 4264426244 5330532805 8200819700 8528852488 10661065610 16401639400 21322131220 26652664025 42644262440 53305328050 106610656100 213221312200