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213323333100 = 223524191697083
BaseRepresentation
bin1100011010101100001…
…1111011110111101100
3202101121212111010120220
43012223003323313230
511443341233124400
6241555511211340
721261231261513
oct3065303736754
9671555433526
10213323333100
1182519507599
1235415676b50
131716869b227
14a47977567a
155837e937a0
hex31ab0fbdec

213323333100 has 72 divisors (see below), whose sum is σ = 618688943040. Its totient is φ = 56750422080.

The previous prime is 213323333099. The next prime is 213323333107. The reversal of 213323333100 is 1333323312.

It is a super-2 number, since 2×2133233331002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213323333107) by changing a digit.

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, 722842 + ... + 974241.

Almost surely, 2213323333100 is an apocalyptic number.

213323333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213323333100 is an abundant number, since it is smaller than the sum of its proper divisors (405365609940).

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

213323333100 is a wasteful number, since it uses less digits than its factorization.

213323333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697519 (or 1697512 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 213323333100 its reverse (1333323312), we get a palindrome (214656656412).

The spelling of 213323333100 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 838 1257 1676 2095 2514 4190 5028 6285 8380 10475 12570 20950 25140 31425 41900 62850 125700 1697083 3394166 5091249 6788332 8485415 10182498 16970830 20364996 25456245 33941660 42427075 50912490 84854150 101824980 127281225 169708300 254562450 509124900 711077777 1422155554 2133233331 2844311108 3555388885 4266466662 7110777770 8532933324 10666166655 14221555540 17776944425 21332333310 35553888850 42664666620 53330833275 71107777700 106661666550 213323333100