Search a number
-
+
1030203122121 = 325313011660073
BaseRepresentation
bin11101111110111001110…
…01000010000111001001
310122111010121221000000200
432333130321002013021
5113334323444401441
62105134020122413
7134300252024445
oct16773471020711
93574117830020
101030203122121
113679a7894648
121477b0b36409
13761bc76c034
1437c0d847825
151bbe81147b6
hexefdce421c9

1030203122121 has 24 divisors (see below), whose sum is σ = 1517314276296. Its totient is φ = 673325203200.

The previous prime is 1030203122111. The next prime is 1030203122141. The reversal of 1030203122121 is 1212213020301.

1030203122121 is a `hidden beast` number, since 10 + 302 + 0 + 312 + 21 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29563019721 + 1000640102400 = 171939^2 + 1000320^2 .

It is not a de Polignac number, because 1030203122121 - 26 = 1030203122057 is a prime.

It is a super-2 number, since 2×10302031221212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030203122094 and 1030203122103.

It is not an unprimeable number, because it can be changed into a prime (1030203122111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209460 + ... + 1450613.

It is an arithmetic number, because the mean of its divisors is an integer number (63221428179).

Almost surely, 21030203122121 is an apocalyptic number.

It is an amenable number.

1030203122121 is a deficient number, since it is larger than the sum of its proper divisors (487111154175).

1030203122121 is a wasteful number, since it uses less digits than its factorization.

1030203122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661433 (or 1661430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030203122121 its reverse (1212213020301), we get a palindrome (2242416142422).

The spelling of 1030203122121 in words is "one trillion, thirty billion, two hundred three million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 53 159 477 1301 3903 11709 68953 206859 620577 1660073 4980219 14940657 87983869 263951607 791854821 2159754973 6479264919 19437794757 114467013569 343401040707 1030203122121