Search a number
-
+
1320103323312 = 2434138910091709
BaseRepresentation
bin10011001101011100010…
…010100010011010110000
311200012102021022002102020
4103031130102202122300
5133112032422321222
62450240323351440
7164242251051414
oct23153422423260
94605367262366
101320103323312
11469941a02584
12193a17b22580
139764000a417
1447c71488d44
1524513ca065c
hex1335c4a26b0

1320103323312 has 160 divisors (see below), whose sum is σ = 3507947352000. Its totient is φ = 427523604480.

The previous prime is 1320103323299. The next prime is 1320103323347. The reversal of 1320103323312 is 2133233010231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772441114 + ... + 772442822.

It is an arithmetic number, because the mean of its divisors is an integer number (21924670950).

Almost surely, 21320103323312 is an apocalyptic number.

1320103323312 is a gapful number since it is divisible by the number (12) 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 1320103323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753973676000).

1320103323312 is an abundant number, since it is smaller than the sum of its proper divisors (2187844028688).

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

1320103323312 is a wasteful number, since it uses less digits than its factorization.

1320103323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1320103323312 its reverse (2133233010231), we get a palindrome (3453336333543).

The spelling of 1320103323312 in words is "one trillion, three hundred twenty billion, one hundred three million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 389 492 656 778 984 1009 1167 1556 1709 1968 2018 2334 3027 3112 3418 4036 4668 5127 6054 6224 6836 8072 9336 10254 12108 13672 15949 16144 18672 20508 24216 27344 31898 41016 41369 47847 48432 63796 70069 82032 82738 95694 124107 127592 140138 165476 191388 210207 248214 255184 280276 330952 382776 392501 420414 496428 560552 661904 664801 765552 785002 840828 992856 1121104 1177503 1329602 1570004 1681656 1724381 1985712 1994403 2355006 2659204 3140008 3363312 3448762 3988806 4710012 5173143 5318408 6280016 6897524 7977612 9420024 10346286 10636816 13795048 15955224 16092541 18840048 20692572 27256841 27590096 31910448 32185082 41385144 48277623 54513682 64370164 70699621 81770523 82770288 96555246 109027364 128740328 141399242 163541046 193110492 212098863 218054728 257480656 282798484 327082092 386220984 424197726 436109456 565596968 654164184 670784209 772441968 848395452 1131193936 1308328368 1341568418 1696790904 2012352627 2683136836 3393581808 4024705254 5366273672 8049410508 10732547344 16098821016 27502152569 32197642032 55004305138 82506457707 110008610276 165012915414 220017220552 330025830828 440034441104 660051661656 1320103323312