Search a number
-
+
213321200001 = 371319142328901
BaseRepresentation
bin1100011010101011101…
…1110011000110000001
3202101121201110202112020
43012222323303012001
511443340211400001
6241555353352053
721261204165540
oct3065273630601
9671551422466
10213321200001
118251828a9a8
1235414a08629
1317168102340
14a47937c157
155837bc1736
hex31aaef3181

213321200001 has 64 divisors (see below), whose sum is σ = 368761774080. Its totient is φ = 106520313600.

The previous prime is 213321199999. The next prime is 213321200041. The reversal of 213321200001 is 100002123312.

213321200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213321200001 - 21 = 213321199999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213321200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7366651 + ... + 7395551.

It is an arithmetic number, because the mean of its divisors is an integer number (5761902720).

Almost surely, 2213321200001 is an apocalyptic number.

213321200001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213321200001 is a deficient number, since it is larger than the sum of its proper divisors (155440574079).

213321200001 is a wasteful number, since it uses less digits than its factorization.

213321200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213321200001 its reverse (100002123312), we get a palindrome (313323323313).

The spelling of 213321200001 in words is "two hundred thirteen billion, three hundred twenty-one million, two hundred thousand, one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1423 1729 4269 5187 9961 18499 27037 28901 29883 55497 81111 86703 129493 189259 202307 351481 375713 388479 549119 567777 606921 1054443 1127139 1647357 2460367 2629991 3843833 7138547 7381101 7889973 11531499 21415641 41126123 49969829 123378369 149909487 287882861 534639599 781396337 863648583 1603918797 2344189011 3742477193 5469774359 10158152381 11227431579 16409323077 30474457143 71107066667 213321200001