Search a number
-
+
123130302003121 = 7101337516791819
BaseRepresentation
bin11011111111110010000001…
…111010010111011110110001
3121010222010211110020220102011
4123333302001322113132301
5112114331324303044441
61113513140240322521
734635604445200210
oct3377620172273661
9533863743226364
10123130302003121
11362622a4531476
1211987589013441
1353921a3580b6a
1422597775a7077
15e37d7d4b5581
hex6ffc81e977b1

123130302003121 has 16 divisors (see below), whose sum is σ = 142535318290560. Its totient is φ = 104185230508800.

The previous prime is 123130302003043. The next prime is 123130302003133. The reversal of 123130302003121 is 121300203031321.

It is not a de Polignac number, because 123130302003121 - 213 = 123130301994929 is a prime.

It is a super-2 number, since 2×1231303020031212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123130302003092 and 123130302003101.

It is not an unprimeable number, because it can be changed into a prime (123130302003421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258157651 + ... + 258634168.

It is an arithmetic number, because the mean of its divisors is an integer number (8908457393160).

Almost surely, 2123130302003121 is an apocalyptic number.

It is an amenable number.

123130302003121 is a deficient number, since it is larger than the sum of its proper divisors (19405016287439).

123130302003121 is a wasteful number, since it uses less digits than its factorization.

123130302003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516792264.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123130302003121 its reverse (121300203031321), we get a palindrome (244430505034442).

The spelling of 123130302003121 in words is "one hundred twenty-three trillion, one hundred thirty billion, three hundred two million, three thousand, one hundred twenty-one".

Divisors: 1 7 101 337 707 2359 34037 238259 516791819 3617542733 52195973719 174158843003 365371816033 1219111901021 17590043143303 123130302003121