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1320114302034 = 231131011636669
BaseRepresentation
bin10011001101011100111…
…100011010110001010010
311200012110000221212101120
4103031130330122301102
5133112043230131114
62450241354543110
7164242443265353
oct23153474326122
94605400855346
101320114302034
11469948121000
12193a1b737a96
13976423825c8
1447c72b05d2a
1524514c1d5a9
hex1335cf1ac52

1320114302034 has 64 divisors (see below), whose sum is σ = 2932807893120. Its totient is φ = 396073656000.

The previous prime is 1320114302021. The next prime is 1320114302051. The reversal of 1320114302034 is 4302034110231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1320114301995 and 1320114302013.

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, 11749 + ... + 1624920.

It is an arithmetic number, because the mean of its divisors is an integer number (45825123330).

Almost surely, 21320114302034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320114302034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466403946560).

1320114302034 is an abundant number, since it is smaller than the sum of its proper divisors (1612693591086).

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

1320114302034 is a wasteful number, since it uses less digits than its factorization.

1320114302034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636808 (or 1636786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1320114302034 its reverse (4302034110231), we get a palindrome (5622148412265).

The spelling of 1320114302034 in words is "one trillion, three hundred twenty billion, one hundred fourteen million, three hundred two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 1331 2222 2662 3333 3993 6666 7986 12221 24442 36663 73326 134431 268862 403293 806586 1636669 3273338 4910007 9820014 18003359 36006718 54010077 108020154 165303569 198036949 330607138 396073898 495910707 594110847 991821414 1188221694 1818339259 2178406439 3636678518 4356812878 5455017777 6535219317 10910035554 13070438634 20001731849 40003463698 60005195547 120010391094 220019050339 440038100678 660057151017 1320114302034