Search a number
-
+
1030111102020 = 22357111343569701
BaseRepresentation
bin11101111110101110110…
…10000000010001000100
310122110220012202220011210
432333113122000101010
5113334131420231040
62105120531531420
7134265053616330
oct16772732002104
93573805686153
101030111102020
1136795a953580
12147786159b70
13761a6690780
1437c015327c0
151bbdeed9480
hexefd7680444

1030111102020 has 768 divisors, whose sum is σ = 3975330078720. Its totient is φ = 192374784000.

The previous prime is 1030111102001. The next prime is 1030111102049. The reversal of 1030111102020 is 202011110301.

It is a super-2 number, since 2×10301111020202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1030111101987 and 1030111102005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1469487670 + ... + 1469488370.

It is an arithmetic number, because the mean of its divisors is an integer number (5176211040).

Almost surely, 21030111102020 is an apocalyptic number.

1030111102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030111102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987665039360).

1030111102020 is an abundant number, since it is smaller than the sum of its proper divisors (2945218976700).

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

1030111102020 is a wasteful number, since it uses less digits than its factorization.

1030111102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1030111102020 its reverse (202011110301), we get a palindrome (1232122212321).

The spelling of 1030111102020 in words is "one trillion, thirty billion, one hundred eleven million, one hundred two thousand, twenty".