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106161505011 = 338944178737
BaseRepresentation
bin110001011011110111…
…0000000001011110011
3101011000120121020011000
41202313232000023303
53214404321130021
6120434145253043
710445531621652
oct1426756001363
9334016536130
10106161505011
1141028447001
12186a9334183
13a01b1a4cb3
1451d14b1199
152b65125b26
hex18b7b802f3

106161505011 has 16 divisors (see below), whose sum is σ = 159043456800. Its totient is φ = 69979117824.

The previous prime is 106161504983. The next prime is 106161505013. The reversal of 106161505011 is 110505161601.

106161505011 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 150 + 501 + 1 = 666.

It is not a de Polignac number, because 106161505011 - 26 = 106161504947 is a prime.

It is a super-2 number, since 2×1061615050112 (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 not an unprimeable number, because it can be changed into a prime (106161505013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22086966 + ... + 22091771.

It is an arithmetic number, because the mean of its divisors is an integer number (9940216050).

Almost surely, 2106161505011 is an apocalyptic number.

106161505011 is a deficient number, since it is larger than the sum of its proper divisors (52881951789).

106161505011 is an equidigital number, since it uses as much as digits as its factorization.

106161505011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44178835 (or 44178829 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 106161505011 its reverse (110505161601), we get a palindrome (216666666612).

The spelling of 106161505011 in words is "one hundred six billion, one hundred sixty-one million, five hundred five thousand, eleven".

Divisors: 1 3 9 27 89 267 801 2403 44178737 132536211 397608633 1192825899 3931907593 11795722779 35387168337 106161505011