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106622174113 = 7213355747057
BaseRepresentation
bin110001101001100101…
…1010100001110100001
3101012012200102122100121
41203103023110032201
53221330234032423
6120552003120241
710463124345400
oct1432313241641
9335180378317
10106622174113
114124448a574
12187b7673081
13a092768c70
145236749637
152b907c045d
hex18d32d43a1

106622174113 has 24 divisors (see below), whose sum is σ = 133611026472. Its totient is φ = 84334892544.

The previous prime is 106622174069. The next prime is 106622174167. The reversal of 106622174113 is 311471226601.

It can be written as a sum of positive squares in 4 ways, for example, as 9397945249 + 97224228864 = 96943^2 + 311808^2 .

It is a de Polignac number, because none of the positive numbers 2k-106622174113 is a prime.

It is a super-2 number, since 2×1066221741132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106622124113) 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 23 ways as a sum of consecutive naturals, for example, 2242281 + ... + 2289337.

It is an arithmetic number, because the mean of its divisors is an integer number (5567126103).

Almost surely, 2106622174113 is an apocalyptic number.

106622174113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106622174113 is a deficient number, since it is larger than the sum of its proper divisors (26988852359).

106622174113 is a wasteful number, since it uses less digits than its factorization.

106622174113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50641 (or 50634 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 106622174113 in words is "one hundred six billion, six hundred twenty-two million, one hundred seventy-four thousand, one hundred thirteen".

Divisors: 1 7 13 49 91 637 3557 24899 46241 47057 174293 323687 329399 611741 2265809 2305793 4282187 29975309 167381749 1171672243 2175962737 8201705701 15231739159 106622174113