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1013304220440 = 233570112045937
BaseRepresentation
bin11101011111011011010…
…00110101101100011000
310120212111220122211221020
432233231220311230120
5113100221340023230
62053301110042440
7133131423521511
oct16575550655430
93525456584836
101013304220440
113608158a76a6
12144475649420
13747286b5325
1437089363a08
151b55975c810
hexebeda35b18

1013304220440 has 64 divisors (see below), whose sum is σ = 3044249451360. Its totient is φ = 269828966400.

The previous prime is 1013304220373. The next prime is 1013304220457. The reversal of 1013304220440 is 440224033101.

It is a super-2 number, since 2×10133042204402 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013304220440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5938849 + ... + 6107088.

Almost surely, 21013304220440 is an apocalyptic number.

1013304220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013304220440 is an abundant number, since it is smaller than the sum of its proper divisors (2030945230920).

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

1013304220440 is a wasteful number, since it uses less digits than its factorization.

1013304220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046652 (or 12046648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1013304220440 its reverse (440224033101), we get a palindrome (1453528253541).

The spelling of 1013304220440 in words is "one trillion, thirteen billion, three hundred four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 14020 16824 21030 28040 42060 84120 12045937 24091874 36137811 48183748 60229685 72275622 96367496 120459370 144551244 180689055 240918740 289102488 361378110 481837480 722756220 1445512440 8444201837 16888403674 25332605511 33776807348 42221009185 50665211022 67553614696 84442018370 101330422044 126663027555 168884036740 202660844088 253326055110 337768073480 506652110220 1013304220440