Search a number
-
+
1002220334120 = 235179762118367
BaseRepresentation
bin11101001010110001111…
…11001010110000101000
310112210220110101002022002
432211120333022300220
5112410021401142440
62044225203550132
7132256645165235
oct16453077126050
93483813332262
101002220334120
11357048283875
121422a168b348
1373680299705
143671729878c
151b10b64d115
hexe958fcac28

1002220334120 has 64 divisors (see below), whose sum is σ = 2268014515200. Its totient is φ = 398574524160.

The previous prime is 1002220334069. The next prime is 1002220334147. The reversal of 1002220334120 is 214330222001.

1002220334120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002220334092 and 1002220334101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54557177 + ... + 54575543.

It is an arithmetic number, because the mean of its divisors is an integer number (35437726800).

Almost surely, 21002220334120 is an apocalyptic number.

1002220334120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002220334120 is an abundant number, since it is smaller than the sum of its proper divisors (1265794181080).

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

1002220334120 is a wasteful number, since it uses less digits than its factorization.

1002220334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26178 (or 26174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1002220334120 its reverse (214330222001), we get a palindrome (1216550556121).

The spelling of 1002220334120 in words is "one trillion, two billion, two hundred twenty million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 7621 15242 18367 30484 36734 38105 60968 73468 76210 91835 146936 152420 183670 304840 367340 734680 1364159 2728318 3287693 5456636 6575386 6820795 10913272 13150772 13641590 16438465 26301544 27283180 32876930 54566360 65753860 131507720 139974907 279949814 559899628 699874535 1119799256 1399749070 2799498140 5598996280 25055508353 50111016706 100222033412 125277541765 200444066824 250555083530 501110167060 1002220334120