Search a number
-
+
12123403131 = 3719591074813
BaseRepresentation
bin10110100101001110…
…00111001101111011
31011021220022200121210
423102213013031323
5144312042400011
65322554334203
7606300140430
oct132247071573
934256280553
1012123403131
115161388234
12242412a363
1311b28b0728
14830181b87
154ae4e96a6
hex2d29c737b

12123403131 has 64 divisors (see below), whose sum is σ = 19964620800. Its totient is φ = 6390182016.

The previous prime is 12123403099. The next prime is 12123403133. The reversal of 12123403131 is 13130432121.

It is not a de Polignac number, because 12123403131 - 25 = 12123403099 is a prime.

It is a super-4 number, since 4×121234031314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12123403098 and 12123403107.

It is not an unprimeable number, because it can be changed into a prime (12123403133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2516481 + ... + 2521293.

It is an arithmetic number, because the mean of its divisors is an integer number (311947200).

Almost surely, 212123403131 is an apocalyptic number.

12123403131 is a deficient number, since it is larger than the sum of its proper divisors (7841217669).

12123403131 is a wasteful number, since it uses less digits than its factorization.

12123403131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12123403131 its reverse (13130432121), we get a palindrome (25253835252).

The spelling of 12123403131 in words is "twelve billion, one hundred twenty-three million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 59 107 133 177 321 399 413 749 1121 1239 2033 2247 3363 4813 6099 6313 7847 14231 14439 18939 23541 33691 42693 44191 91447 101073 119947 132573 274341 283967 359841 514991 640129 839629 851901 1544973 1920387 1987769 2518887 3604937 5395373 5963307 9784829 10814811 16186119 29354487 30384469 37767611 68493803 91153407 113302833 205481409 212691283 577304911 638073849 1731914733 4041134377 12123403131