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106111060511 = 4011487177953
BaseRepresentation
bin110001011010010110…
…1100100101000011111
3101010220001200101022012
41202310231210220133
53214303412414021
6120425144141435
710444350063311
oct1426455445037
9333801611265
10106111060511
1141001a22335
121869446787b
13a0108c2491
1451c88dd7b1
152b609ae35b
hex18b4b64a1f

106111060511 has 8 divisors (see below), whose sum is σ = 106447811904. Its totient is φ = 105774668800.

The previous prime is 106111060501. The next prime is 106111060543. The reversal of 106111060511 is 115060111601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106111060511 is a prime.

It is a super-2 number, since 2×1061110605112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111060501) 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 7 ways as a sum of consecutive naturals, for example, 507311 + ... + 685263.

It is an arithmetic number, because the mean of its divisors is an integer number (13305976488).

Almost surely, 2106111060511 is an apocalyptic number.

106111060511 is a deficient number, since it is larger than the sum of its proper divisors (336751393).

106111060511 is a wasteful number, since it uses less digits than its factorization.

106111060511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179841.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 106111060511 in words is "one hundred six billion, one hundred eleven million, sixty thousand, five hundred eleven".

Divisors: 1 401 1487 177953 596287 71359153 264616111 106111060511