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123130213121 = 172310113123801
BaseRepresentation
bin111001010101100100…
…0011111001100000001
3102202211011012220122202
41302223020133030001
54004132313304441
6132322031442545
711616165354116
oct1625310371401
9382734186582
10123130213121
1148245882613
121ba44086455
13b7c3860396
145d60d6690d
153309bbb19b
hex1cab21f301

123130213121 has 32 divisors (see below), whose sum is σ = 138443095296. Its totient is φ = 108908800000.

The previous prime is 123130213111. The next prime is 123130213133. The reversal of 123130213121 is 121312031321.

It is a happy number.

It is not a de Polignac number, because 123130213121 - 226 = 123063104257 is a prime.

It is a super-2 number, since 2×1231302131212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130213093 and 123130213102.

It is not an unprimeable number, because it can be changed into a prime (123130213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5161421 + ... + 5185221.

It is an arithmetic number, because the mean of its divisors is an integer number (4326346728).

Almost surely, 2123130213121 is an apocalyptic number.

It is an amenable number.

123130213121 is a deficient number, since it is larger than the sum of its proper divisors (15312882175).

123130213121 is a wasteful number, since it uses less digits than its factorization.

123130213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24073.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123130213121 its reverse (121312031321), we get a palindrome (244442244442).

The spelling of 123130213121 in words is "one hundred twenty-three billion, one hundred thirty million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 17 23 101 131 391 1717 2227 2323 3013 13231 23801 39491 51221 224927 304313 404617 547423 2403901 3117931 5173321 9306191 40866317 53004827 55289723 71712413 314911031 939925291 1219111021 5353487527 7242953713 123130213121