Search a number
-
+
10113023002121 = 135314677827289
BaseRepresentation
bin1001001100101001111100…
…1001001100011000001001
31022210210110221221122111222
42103022133021030120021
52311142432342031441
633301505244131425
72062433065122104
oct223123711143011
938723427848458
1010113023002121
1132499aa925396
121173b7ab36b75
13584866a31680
1426d6899c573b
151280e2624d4b
hex9329f24c609

10113023002121 has 8 divisors (see below), whose sum is σ = 11096437431240. Its totient is φ = 9158964227712.

The previous prime is 10113023002109. The next prime is 10113023002151. The reversal of 10113023002121 is 12120032031101.

It can be written as a sum of positive squares in 4 ways, for example, as 239218810000 + 9873804192121 = 489100^2 + 3142261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-10113023002121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10113023002121.

It is not an unprimeable number, because it can be changed into a prime (10113023002151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7338912956 + ... + 7338914333.

It is an arithmetic number, because the mean of its divisors is an integer number (1387054678905).

Almost surely, 210113023002121 is an apocalyptic number.

It is an amenable number.

10113023002121 is a deficient number, since it is larger than the sum of its proper divisors (983414429119).

10113023002121 is a wasteful number, since it uses less digits than its factorization.

10113023002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677827355.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10113023002121 its reverse (12120032031101), we get a palindrome (22233055033222).

The spelling of 10113023002121 in words is "ten trillion, one hundred thirteen billion, twenty-three million, two thousand, one hundred twenty-one".

Divisors: 1 13 53 689 14677827289 190811754757 777924846317 10113023002121