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13222135410 = 23511475914449
BaseRepresentation
bin11000101000001100…
…11100011001110010
31021010110210001221220
430110012130121302
5204034331313120
610024004125510
7645441203511
oct142406343162
937113701856
1013222135410
115675607040
122690096896
131329409383
148d6070678
15525bceb40
hex31419c672

13222135410 has 128 divisors (see below), whose sum is σ = 35956224000. Its totient is φ = 3083781120.

The previous prime is 13222135393. The next prime is 13222135447. The reversal of 13222135410 is 1453122231.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 907866 + ... + 922314.

It is an arithmetic number, because the mean of its divisors is an integer number (280908000).

Almost surely, 213222135410 is an apocalyptic number.

13222135410 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 13222135410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978112000).

13222135410 is an abundant number, since it is smaller than the sum of its proper divisors (22734088590).

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

13222135410 is a wasteful number, since it uses less digits than its factorization.

13222135410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13222135410 its reverse (1453122231), we get a palindrome (14675257641).

The spelling of 13222135410 in words is "thirteen billion, two hundred twenty-two million, one hundred thirty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 59 66 94 110 118 141 165 177 235 282 295 330 354 470 517 590 649 705 885 1034 1298 1410 1551 1770 1947 2585 2773 3102 3245 3894 5170 5546 6490 7755 8319 9735 13865 14449 15510 16638 19470 27730 28898 30503 41595 43347 61006 72245 83190 86694 91509 144490 152515 158939 183018 216735 305030 317878 433470 457545 476817 679103 794695 852491 915090 953634 1358206 1589390 1704982 2037309 2384085 2557473 3395515 4074618 4262455 4768170 5114946 6791030 7470133 8524910 9377401 10186545 12787365 14940266 18754802 20373090 22410399 25574730 28132203 37350665 40067077 44820798 46887005 56264406 74701330 80134154 93774010 112051995 120201231 140661015 200335385 224103990 240402462 281322030 400670770 440737847 601006155 881475694 1202012310 1322213541 2203689235 2644427082 4407378470 6611067705 13222135410