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106413224519 = 7107937115161
BaseRepresentation
bin110001100011010111…
…0001111001001000111
3101011200010020220101202
41203012232033021013
53220413241141034
6120515140413115
710455006325040
oct1430656171107
9334603226352
10106413224519
1141147544658
12187596a719b
13a05b39a254
145216ab78c7
152b7c29947e
hex18c6b8f247

106413224519 has 16 divisors (see below), whose sum is σ = 122772900096. Its totient is φ = 90343291200.

The previous prime is 106413224507. The next prime is 106413224527. The reversal of 106413224519 is 915422314601.

It is a cyclic number.

It is not a de Polignac number, because 106413224519 - 216 = 106413158983 is a prime.

It is a super-2 number, since 2×1064132245192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106413224719) 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, 7011299 + ... + 7026459.

It is an arithmetic number, because the mean of its divisors is an integer number (7673306256).

Almost surely, 2106413224519 is an apocalyptic number.

106413224519 is a deficient number, since it is larger than the sum of its proper divisors (16359675577).

106413224519 is a wasteful number, since it uses less digits than its factorization.

106413224519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24646.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 106413224519 in words is "one hundred six billion, four hundred thirteen million, two hundred twenty-four thousand, five hundred nineteen".

Divisors: 1 7 107 749 9371 15161 65597 106127 1002697 1622227 7018879 11355589 142073731 994516117 15201889217 106413224519