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106712325441 = 3243275742443
BaseRepresentation
bin110001101100010001…
…1001101110101000001
3101012102222001210201200
41203120203031311001
53222021323403231
6121004543251413
710465300541301
oct1433043156501
9335388053650
10106712325441
11412903645a7
12188218a9b69
13a0a8341a47
1452446d5601
152b9867bbe6
hex18d88cdd41

106712325441 has 12 divisors (see below), whose sum is σ = 157724677968. Its totient is φ = 69487095384.

The previous prime is 106712325427. The next prime is 106712325443. The reversal of 106712325441 is 144523217601.

106712325441 is a `hidden beast` number, since 10 + 6 + 71 + 2 + 32 + 544 + 1 = 666.

It is not a de Polignac number, because 106712325441 - 234 = 89532456257 is a prime.

It is a super-2 number, since 2×1067123254412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106712325396 and 106712325405.

It is not an unprimeable number, because it can be changed into a prime (106712325443) 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 11 ways as a sum of consecutive naturals, for example, 137870835 + ... + 137871608.

It is an arithmetic number, because the mean of its divisors is an integer number (13143723164).

Almost surely, 2106712325441 is an apocalyptic number.

It is an amenable number.

106712325441 is a deficient number, since it is larger than the sum of its proper divisors (51012352527).

106712325441 is a wasteful number, since it uses less digits than its factorization.

106712325441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275742492 (or 275742489 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 106712325441 in words is "one hundred six billion, seven hundred twelve million, three hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 9 43 129 387 275742443 827227329 2481681987 11856925049 35570775147 106712325441