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123121223130301 = 11195979712527843
BaseRepresentation
bin11011111111101001100100…
…110001001101110010111101
3121010221021101201202101020021
4123333221210301031302331
5112114204231110132201
61113505035320452141
734635133454066224
oct3377514461156275
9533837351671207
10123121223130301
11362594657699a0
121198587461a051
135391387676576
1422591558ddcbb
15e379eb408ea1
hex6ffa64c4dcbd

123121223130301 has 32 divisors (see below), whose sum is σ = 143959960972800. Its totient is φ = 104109373702080.

The previous prime is 123121223130299. The next prime is 123121223130319. The reversal of 123121223130301 is 103031322121321.

It is a cyclic number.

It is not a de Polignac number, because 123121223130301 - 21 = 123121223130299 is a prime.

It is a super-3 number, since 3×1231212231303013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121223130371) 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 31 ways as a sum of consecutive naturals, for example, 3563886 + ... + 16091728.

It is an arithmetic number, because the mean of its divisors is an integer number (4498748780400).

Almost surely, 2123121223130301 is an apocalyptic number.

123121223130301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123121223130301 is a deficient number, since it is larger than the sum of its proper divisors (20838737842499).

123121223130301 is a wasteful number, since it uses less digits than its factorization.

123121223130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528729.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 123121223130301 its reverse (103031322121321), we get a palindrome (226152545251622).

The spelling of 123121223130301 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred thirty thousand, three hundred one".

Divisors: 1 11 19 59 209 649 797 1121 8767 12331 15143 47023 166573 517253 893437 9827807 12527843 137806273 238029017 739142737 2618319187 8130570107 9984690871 14043712003 109831599581 154480832033 189709126549 589096761389 2086800392039 6480064375279 11192838466391 123121223130301