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106016163301 = 294107788997
BaseRepresentation
bin110001010111100001…
…1100100010111100101
3101010122110010002210201
41202233003210113211
53214110114211201
6120411514150501
710442115343126
oct1425703442745
9333573102721
10106016163301
1140a633a6694
1218668722431
139cc7047499
1451ba07a04d
152b574b6801
hex18af0e45e5

106016163301 has 8 divisors (see below), whose sum is σ = 109675795320. Its totient is φ = 102356791488.

The previous prime is 106016163277. The next prime is 106016163373. The reversal of 106016163301 is 103361610601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55719130401 + 50297032900 = 236049^2 + 224270^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106016163301 - 211 = 106016161253 is a prime.

It is a super-2 number, since 2×1060161633012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106016163301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016163391) 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, 1146735 + ... + 1235731.

It is an arithmetic number, because the mean of its divisors is an integer number (13709474415).

Almost surely, 2106016163301 is an apocalyptic number.

It is an amenable number.

106016163301 is a deficient number, since it is larger than the sum of its proper divisors (3659632019).

106016163301 is an equidigital number, since it uses as much as digits as its factorization.

106016163301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130103.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 106016163301 its reverse (103361610601), we get a palindrome (209377773902).

The spelling of 106016163301 in words is "one hundred six billion, sixteen million, one hundred sixty-three thousand, three hundred one".

Divisors: 1 29 41077 88997 1191233 2580913 3655729769 106016163301