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106044013431 = 361733725391
BaseRepresentation
bin110001011000010110…
…1110011101101110111
3101010201101112001000000
41202300231303231313
53214134231412211
6120414351122343
710442604145626
oct1426055635567
9333641461000
10106044013431
1140a78098924
1218675b133b3
139ccca48a55
1451bda496bd
152b59b68656
hex18b0b73b77

106044013431 has 56 divisors (see below), whose sum is σ = 168852026304. Its totient is φ = 66337367040.

The previous prime is 106044013351. The next prime is 106044013433. The reversal of 106044013431 is 134310440601.

106044013431 is a `hidden beast` number, since 1 + 0 + 60 + 440 + 134 + 31 = 666.

It is not a de Polignac number, because 106044013431 - 27 = 106044013303 is a prime.

It is a super-2 number, since 2×1060440134312 (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 junction number, because it is equal to n+sod(n) for n = 106044013395 and 106044013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044013433) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4163746 + ... + 4189136.

Almost surely, 2106044013431 is an apocalyptic number.

106044013431 is a deficient number, since it is larger than the sum of its proper divisors (62808012873).

106044013431 is an equidigital number, since it uses as much as digits as its factorization.

106044013431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25763 (or 25748 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 106044013431 in words is "one hundred six billion, forty-four million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 243 337 459 729 1011 1377 3033 4131 5729 9099 12393 17187 25391 27297 51561 76173 81891 154683 228519 245673 431647 464049 685557 1294941 1392147 2056671 3884823 4176441 6170013 8556767 11654469 18510039 25670301 34963407 77010903 104890221 145465039 231032709 314670663 436395117 693098127 1309185351 2079294381 3927556053 6237883143 11782668159 35348004477 106044013431