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213301222300 = 225237211327283
BaseRepresentation
bin1100011010100110111…
…1100101101110011100
3202101120022212210021101
43012221233211232130
511443320103103200
6241553401242444
721260542321525
oct3065157455634
9671508783241
10213301222300
1182507a85401
123540a193424
1317163c2910a
14a47685b84c
15583607726a
hex31a9be5b9c

213301222300 has 72 divisors (see below), whose sum is σ = 475615888496. Its totient is φ = 82972200960.

The previous prime is 213301222279. The next prime is 213301222331. The reversal of 213301222300 is 3222103312.

It is a super-2 number, since 2×2133012223002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7804459 + ... + 7831741.

Almost surely, 2213301222300 is an apocalyptic number.

213301222300 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 213301222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237807944248).

213301222300 is an abundant number, since it is smaller than the sum of its proper divisors (262314666196).

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

213301222300 is a wasteful number, since it uses less digits than its factorization.

213301222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29447 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213301222300 its reverse (3222103312), we get a palindrome (216523325612).

The spelling of 213301222300 in words is "two hundred thirteen billion, three hundred one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 2113 3700 4226 8452 10565 21130 27283 42260 52825 54566 78181 105650 109132 136415 156362 211300 272830 312724 390905 545660 682075 781810 1009471 1364150 1563620 1954525 2018942 2728300 3909050 4037884 5047355 7818100 10094710 20189420 25236775 50473550 57648979 100947100 115297958 230595916 288244895 576489790 1152979580 1441224475 2133012223 2882448950 4266024446 5764897900 8532048892 10665061115 21330122230 42660244460 53325305575 106650611150 213301222300