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123132043431 = 33316714231543
BaseRepresentation
bin111001010101100111…
…1011110000010100111
3102202211021122220101000
41302223033132002213
54004133300342211
6132322135004343
711616220046235
oct1625317360247
9382737586330
10123132043431
1148246912771
121ba448096b3
13b7c40514c7
145d612c1955
153309e2d656
hex1cab3de0a7

123132043431 has 64 divisors (see below), whose sum is σ = 191371018240. Its totient is φ = 78148683360.

The previous prime is 123132043387. The next prime is 123132043439. The reversal of 123132043431 is 134340231321.

It is a happy number.

123132043431 is a `hidden beast` number, since 1 + 2 + 313 + 2 + 0 + 4 + 343 + 1 = 666.

It is not a de Polignac number, because 123132043431 - 27 = 123132043303 is a prime.

It is a super-2 number, since 2×1231320434312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123132043395 and 123132043404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132043439) 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, 79799646 + ... + 79801188.

It is an arithmetic number, because the mean of its divisors is an integer number (2990172160).

Almost surely, 2123132043431 is an apocalyptic number.

123132043431 is a deficient number, since it is larger than the sum of its proper divisors (68238974809).

123132043431 is a wasteful number, since it uses less digits than its factorization.

123132043431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123132043431 its reverse (134340231321), we get a palindrome (257472274752).

The spelling of 123132043431 in words is "one hundred twenty-three billion, one hundred thirty-two million, forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 31 67 93 201 279 603 837 1423 1543 1809 2077 4269 4629 6231 12807 13887 18693 38421 41661 44113 47833 56079 95341 103381 132339 143499 286023 310143 397017 430497 858069 930429 1191051 1291491 2195689 2574207 2791287 2955571 3204811 6587067 8866713 9614433 19761201 26600139 28843299 59283603 68066359 79800417 86529897 147111163 204199077 441333489 612597231 1324000467 1837791693 3972001401 4560446053 13681338159 41044014477 123132043431