Search a number
-
+
1320203221232 = 247293791072471
BaseRepresentation
bin10011001101100010001…
…111100111100011110000
311200012200020021102121012
4103031202033213203300
5133112234011034412
62450254252450052
7164244603140120
oct23154217474360
94605606242535
101320203221232
11469993334345
12193a45479928
139765791660c
1447c80850c80
152451c934c22
hex133623e78f0

1320203221232 has 80 divisors (see below), whose sum is σ = 3032092838400. Its totient is φ = 544849079040.

The previous prime is 1320203221213. The next prime is 1320203221237. The reversal of 1320203221232 is 2321223020231.

It is a junction number, because it is equal to n+sod(n) for n = 1320203221198 and 1320203221207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320203221237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694757 + ... + 1767227.

It is an arithmetic number, because the mean of its divisors is an integer number (37901160480).

Almost surely, 21320203221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320203221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516046419200).

1320203221232 is an abundant number, since it is smaller than the sum of its proper divisors (1711889617168).

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

1320203221232 is a wasteful number, since it uses less digits than its factorization.

1320203221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072894 (or 1072888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1320203221232 its reverse (2321223020231), we get a palindrome (3641426241463).

The spelling of 1320203221232 in words is "one trillion, three hundred twenty billion, two hundred three million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 379 406 464 758 812 1516 1624 2653 3032 3248 5306 6064 10612 10991 21224 21982 42448 43964 76937 87928 153874 175856 307748 615496 1072471 1230992 2144942 4289884 7507297 8579768 15014594 17159536 30029188 31101659 60058376 62203318 120116752 124406636 217711613 248813272 406466509 435423226 497626544 812933018 870846452 1625866036 1741692904 2845265563 3251732072 3483385808 5690531126 6503464144 11381062252 11787528761 22762124504 23575057522 45524249008 47150115044 82512701327 94300230088 165025402654 188600460176 330050805308 660101610616 1320203221232