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106066240731 = 32111071376169
BaseRepresentation
bin110001011001000001…
…0100110010011011011
3101010202221100022010100
41202302002212103123
53214210424200411
6120420503350443
710443264112353
oct1426202462333
9333687308110
10106066240731
1140a8969a5a0
1218681452423
13a00452bbb9
1451c2993b63
152b5baa9456
hex18b20a64db

106066240731 has 12 divisors (see below), whose sum is σ = 167134682520. Its totient is φ = 64282570080.

The previous prime is 106066240711. The next prime is 106066240739. The reversal of 106066240731 is 137042660601.

It is a happy number.

106066240731 is a `hidden beast` number, since 1 + 0 + 606 + 6 + 2 + 40 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 106066240731 - 211 = 106066238683 is a prime.

It is a super-2 number, since 2×1060662407312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106066240739) 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, 535687986 + ... + 535688183.

It is an arithmetic number, because the mean of its divisors is an integer number (13927890210).

Almost surely, 2106066240731 is an apocalyptic number.

106066240731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106066240731 is a deficient number, since it is larger than the sum of its proper divisors (61068441789).

106066240731 is a wasteful number, since it uses less digits than its factorization.

106066240731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071376186 (or 1071376183 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 106066240731 in words is "one hundred six billion, sixty-six million, two hundred forty thousand, seven hundred thirty-one".

Divisors: 1 3 9 11 33 99 1071376169 3214128507 9642385521 11785137859 35355413577 106066240731