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1320103210320 = 243251833476681
BaseRepresentation
bin10011001101011100010…
…010000110110101010000
311200012102021002100102100
4103031130102012311100
5133112032410212240
62450240321120400
7164242250101116
oct23153422066520
94605367070370
101320103210320
114699419356a4
12193a17a89100
139763cc9ab6b
1447c71459ab6
1524513c7be30
hex1335c486d50

1320103210320 has 60 divisors (see below), whose sum is σ = 4433346617076. Its totient is φ = 352027522560.

The previous prime is 1320103210271. The next prime is 1320103210427. The reversal of 1320103210320 is 230123010231.

1320103210320 is a `hidden beast` number, since 1 + 3 + 20 + 1 + 0 + 321 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374455877184 + 945647333136 = 611928^2 + 972444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320103210293 and 1320103210302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916737621 + ... + 916739060.

Almost surely, 21320103210320 is an apocalyptic number.

1320103210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320103210320 is an abundant number, since it is smaller than the sum of its proper divisors (3113243406756).

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

1320103210320 is a wasteful number, since it uses less digits than its factorization.

1320103210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833476700 (or 1833476691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1320103210320 its reverse (230123010231), we get a palindrome (1550226220551).

The spelling of 1320103210320 in words is "one trillion, three hundred twenty billion, one hundred three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1833476681 3666953362 5500430043 7333906724 9167383405 11000860086 14667813448 16501290129 18334766810 22001720172 27502150215 29335626896 33002580258 36669533620 44003440344 55004300430 66005160516 73339067240 82506450645 88006880688 110008600860 132010321032 146678134480 165012901290 220017201720 264020642064 330025802580 440034403440 660051605160 1320103210320