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1321321212315 = 3251317592251913
BaseRepresentation
bin10011001110100100111…
…000011010100110011011
311200022120010222021001100
4103032210320122212123
5133122031212243230
62451001231122443
7164314366664256
oct23164470324633
94608503867040
101321321212315
1146a407417615
121940b7973423
13977a54261c0
1447d4911409d
1524585b71660
hex133a4e1a99b

1321321212315 has 96 divisors (see below), whose sum is σ = 2655817295040. Its totient is φ = 601855008768.

The previous prime is 1321321212287. The next prime is 1321321212347. The reversal of 1321321212315 is 5132121231231.

1321321212315 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 321 + 21 + 2 + 315 = 666.

It is not a de Polignac number, because 1321321212315 - 212 = 1321321208219 is a prime.

It is a super-2 number, since 2×13213212123152 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539202 + ... + 1712711.

It is an arithmetic number, because the mean of its divisors is an integer number (27664763490).

Almost surely, 21321321212315 is an apocalyptic number.

1321321212315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1321321212315 is an abundant number, since it is smaller than the sum of its proper divisors (1334496082725).

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

1321321212315 is a wasteful number, since it uses less digits than its factorization.

1321321212315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252013 (or 2252010 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 1321321212315 its reverse (5132121231231), we get a palindrome (6453442443546).

The spelling of 1321321212315 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred twelve thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 17 39 45 51 59 65 85 117 153 177 195 221 255 295 531 585 663 765 767 885 1003 1105 1989 2301 2655 3009 3315 3835 5015 6903 9027 9945 11505 13039 15045 34515 39117 45135 65195 117351 195585 586755 2251913 6755739 11259565 20267217 29274869 33778695 38282521 87824607 101336085 114847563 132862867 146374345 191412605 263473821 344542689 398588601 439123035 497672773 574237815 664314335 1195765803 1317369105 1493018319 1722713445 1727217271 1992943005 2258668739 2488363865 4479054957 5181651813 5978829015 6776006217 7465091595 8636086355 11293343695 15544955439 20328018651 22395274785 25908259065 29362693607 33880031085 77724777195 88088080821 101640093255 146813468035 264264242463 440440404105 1321321212315