Search a number
-
+
210303554304 = 2831735274567
BaseRepresentation
bin1100001111011100010…
…0011001001100000000
3202002211102020110211210
43003313010121030000
511421200202214204
6240340115010120
721123342500634
oct3036704311400
9662742213753
10210303554304
1181209968038
1234912299940
1316aa6b8017c
14a2706a0dc4
15570cce4389
hex30f7119300

210303554304 has 144 divisors (see below), whose sum is σ = 592936339968. Its totient is φ = 65944436736.

The previous prime is 210303554267. The next prime is 210303554333. The reversal of 210303554304 is 403455303012.

210303554304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46046229 + ... + 46050795.

It is an arithmetic number, because the mean of its divisors is an integer number (4117613472).

Almost surely, 2210303554304 is an apocalyptic number.

210303554304 is a gapful number since it is divisible by the number (24) 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 210303554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296468169984).

210303554304 is an abundant number, since it is smaller than the sum of its proper divisors (382632785664).

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

210303554304 is a wasteful number, since it uses less digits than its factorization.

210303554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 210303554304 its reverse (403455303012), we get a palindrome (613758857316).

The spelling of 210303554304 in words is "two hundred ten billion, three hundred three million, five hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 3527 4352 4567 6528 7054 9134 10581 13056 13701 14108 18268 21162 27402 28216 36536 42324 54804 56432 59959 73072 77639 84648 109608 112864 119918 146144 155278 169296 179877 219216 225728 232917 239836 292288 310556 338592 359754 438432 451456 465834 479672 584576 621112 677184 719508 876864 902912 931668 959344 1169152 1242224 1354368 1439016 1753728 1863336 1918688 2484448 2708736 2878032 3507456 3726672 3837376 4968896 5756064 7453344 7674752 9937792 11512128 14906688 15349504 16107809 19875584 23024256 29813376 32215618 46048512 48323427 59626752 64431236 96646854 128862472 193293708 257724944 273832753 386587416 515449888 547665506 773174832 821498259 1030899776 1095331012 1546349664 1642996518 2061799552 2190662024 3092699328 3285993036 4123599104 4381324048 6185398656 6571986072 8762648096 12370797312 13143972144 17525296192 26287944288 35050592384 52575888576 70101184768 105151777152 210303554304