Search a number
-
+
213303123330 = 235112103570497
BaseRepresentation
bin1100011010100111011…
…0110101110110000010
3202101120110110100222220
43012221312311312002
511443321044421310
6241553510111510
721260564430063
oct3065166656602
9671513410886
10213303123330
1182509063700
123540a94b596
131716444349b
14a476bd456a
155836300670
hex31a9db5d82

213303123330 has 96 divisors (see below), whose sum is σ = 568161240192. Its totient is φ = 51207720960.

The previous prime is 213303123311. The next prime is 213303123337. The reversal of 213303123330 is 33321303312.

213303123330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213303123330.

It is not an unprimeable number, because it can be changed into a prime (213303123337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88642 + ... + 659138.

It is an arithmetic number, because the mean of its divisors is an integer number (5918346252).

Almost surely, 2213303123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213303123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284080620096).

213303123330 is an abundant number, since it is smaller than the sum of its proper divisors (354858116862).

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

213303123330 is a wasteful number, since it uses less digits than its factorization.

213303123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570632 (or 570621 counting only the distinct ones).

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

Adding to 213303123330 its reverse (33321303312), we get a palindrome (246624426642).

It can be divided in two parts, 213303 and 123330, that added together give a palindrome (336633).

The spelling of 213303123330 in words is "two hundred thirteen billion, three hundred three million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 121 165 206 242 309 330 363 515 605 618 726 1030 1133 1210 1545 1815 2266 3090 3399 3630 5665 6798 11330 12463 16995 24926 33990 37389 62315 74778 124630 186945 373890 570497 1140994 1711491 2852485 3422982 5704970 6275467 8557455 12550934 17114910 18826401 31377335 37652802 58761191 62754670 69030137 94132005 117522382 138060274 176283573 188264010 207090411 293805955 345150685 352567146 414180822 587611910 646373101 690301370 881417865 1035452055 1292746202 1762835730 1939119303 2070904110 3231865505 3878238606 6463731010 7110104111 9695596515 14220208222 19391193030 21330312333 35550520555 42660624666 71101041110 106651561665 213303123330