Search a number
-
+
1012430770020 = 2232511833475333
BaseRepresentation
bin11101011101110011001…
…00111000111101100100
310120210021001002222012200
432232321210320331210
5113041424234120040
62053034305014500
7133100656361025
oct16567144707544
93523231088180
101012430770020
1136040785944a
12144271024430
1374619756267
1437005358c4c
151b507c27630
hexebb9938f64

1012430770020 has 72 divisors (see below), whose sum is σ = 3071305995576. Its totient is φ = 269958154752.

The previous prime is 1012430769997. The next prime is 1012430770093. The reversal of 1012430770020 is 200770342101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 624311737956 + 388119032064 = 790134^2 + 622992^2 .

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 23 ways as a sum of consecutive naturals, for example, 1892274 + ... + 2367606.

Almost surely, 21012430770020 is an apocalyptic number.

1012430770020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012430770020 is an abundant number, since it is smaller than the sum of its proper divisors (2058875225556).

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

1012430770020 is a wasteful number, since it uses less digits than its factorization.

1012430770020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487181 (or 487176 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 1012430770020 in words is "one trillion, twelve billion, four hundred thirty million, seven hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11833 23666 35499 47332 59165 70998 106497 118330 141996 177495 212994 236660 354990 425988 475333 532485 709980 950666 1064970 1425999 1901332 2129940 2376665 2851998 4277997 4753330 5703996 7129995 8555994 9506660 14259990 17111988 21389985 28519980 42779970 85559940 5624615389 11249230778 16873846167 22498461556 28123076945 33747692334 50621538501 56246153890 67495384668 84369230835 101243077002 112492307780 168738461670 202486154004 253107692505 337476923340 506215385010 1012430770020