Search a number
-
+
106322742117 = 32101116966713
BaseRepresentation
bin110001100000101010…
…1000100101101100101
3101011102210222220212200
41203001111010231211
53220222110221432
6120502145205113
710452530252664
oct1430125045545
9334383886780
10106322742117
1141100463909
1218733330799
13a045709877
145208a82ddb
152b74374a7c
hex18c1544b65

106322742117 has 12 divisors (see below), whose sum is σ = 155097862764. Its totient is φ = 70180027200.

The previous prime is 106322742077. The next prime is 106322742191. The reversal of 106322742117 is 711247223601.

106322742117 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 227 + 421 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101653206561 + 4669535556 = 318831^2 + 68334^2 .

It is not a de Polignac number, because 106322742117 - 212 = 106322738021 is a prime.

It is a super-2 number, since 2×1063227421172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106322742017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58482448 + ... + 58484265.

It is an arithmetic number, because the mean of its divisors is an integer number (12924821897).

Almost surely, 2106322742117 is an apocalyptic number.

It is an amenable number.

106322742117 is a deficient number, since it is larger than the sum of its proper divisors (48775120647).

106322742117 is a wasteful number, since it uses less digits than its factorization.

106322742117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116966820 (or 116966817 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 106322742117 its reverse (711247223601), we get a palindrome (817569965718).

The spelling of 106322742117 in words is "one hundred six billion, three hundred twenty-two million, seven hundred forty-two thousand, one hundred seventeen".

Divisors: 1 3 9 101 303 909 116966713 350900139 1052700417 11813638013 35440914039 106322742117