Search a number
-
+
13322322210 = 2355367791583
BaseRepresentation
bin11000110100001001…
…01000000100100010
31021101110022002102010
430122010220010202
5204241003302320
610041543333350
7651065604351
oct143204500442
937343262363
1013322322210
11571711594a
1226b9751256
1313440b6bc2
149054ad998
1552e8beae0
hex31a128122

13322322210 has 128 divisors (see below), whose sum is σ = 33502740480. Its totient is φ = 3387960576.

The previous prime is 13322322193. The next prime is 13322322227. The reversal of 13322322210 is 1222322331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13322322193) and next prime (13322322227).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8415079 + ... + 8416661.

It is an arithmetic number, because the mean of its divisors is an integer number (261740160).

Almost surely, 213322322210 is an apocalyptic number.

13322322210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322322210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751370240).

13322322210 is an abundant number, since it is smaller than the sum of its proper divisors (20180418270).

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

13322322210 is a wasteful number, since it uses less digits than its factorization.

13322322210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13322322210 its reverse (1222322331), we get a palindrome (14544644541).

The spelling of 13322322210 in words is "thirteen billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 67 79 106 134 158 159 201 237 265 318 335 395 402 474 530 670 790 795 1005 1185 1583 1590 2010 2370 3166 3551 4187 4749 5293 7102 7915 8374 9498 10586 10653 12561 15830 15879 17755 20935 21306 23745 25122 26465 31758 35510 41870 47490 52930 53265 62805 79395 83899 106061 106530 125057 125610 158790 167798 212122 250114 251697 280529 318183 375171 419495 503394 530305 561058 625285 636366 750342 838990 841587 1060610 1250570 1258485 1402645 1590915 1683174 1875855 2516970 2805290 3181830 3751710 4207935 5621233 6628021 8378819 8415870 11242466 13256042 16757638 16863699 19884063 25136457 28106165 33140105 33727398 39768126 41894095 50272914 56212330 66280210 83788190 84318495 99420315 125682285 168636990 198840630 251364570 444077407 888154814 1332232221 2220387035 2664464442 4440774070 6661161105 13322322210