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1305424103016 = 2331131490332533
BaseRepresentation
bin10010111111110001010…
…101110000011001101000
311121210112020202102202110
4102333301111300121220
5132342002032244031
62435411545002320
7163212424535655
oct22776125603150
94553466672673
101305424103016
11463699968060
12190bbba833a0
1396140a86457
144727bac6c2c
1523e55201c46
hex12ff1570668

1305424103016 has 128 divisors (see below), whose sum is σ = 3675956797440. Its totient is φ = 382732473600.

The previous prime is 1305424102999. The next prime is 1305424103021. The reversal of 1305424103016 is 6103014245031.

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, 40109886 + ... + 40142418.

It is an arithmetic number, because the mean of its divisors is an integer number (28718412480).

Almost surely, 21305424103016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305424103016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837978398720).

1305424103016 is an abundant number, since it is smaller than the sum of its proper divisors (2370532694424).

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

1305424103016 is a wasteful number, since it uses less digits than its factorization.

1305424103016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37487 (or 37483 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1305424103016 its reverse (6103014245031), we get a palindrome (7408438348047).

The spelling of 1305424103016 in words is "one trillion, three hundred five billion, four hundred twenty-four million, one hundred three thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 4903 8184 9806 14709 19612 29418 32533 39224 53933 58836 65066 97599 107866 117672 130132 151993 161799 195198 215732 260264 303986 323598 357863 390396 431464 455979 607972 647196 715726 780792 911958 1008523 1073589 1215944 1294392 1431452 1671923 1823916 2017046 2147178 2862904 3025569 3343846 3647832 4034092 4294356 5015769 6051138 6687692 8068184 8588712 10031538 11093753 12102276 13375384 20063076 22187506 24204552 33281259 40126152 44375012 66562518 88750024 133125036 159509299 266250072 319018598 478527897 638037196 957055794 1276074392 1754602289 1914111588 3509204578 3828223176 4944788269 5263806867 7018409156 9889576538 10527613734 14036818312 14834364807 19779153076 21055227468 29668729614 39558306152 42110454936 54392670959 59337459228 108785341918 118674918456 163178012877 217570683836 326356025754 435141367672 652712051508 1305424103016